MCQ Test- Polynomial Expression in Nature and Technology (Class- 9, Experience- 4)

Multiple Choice Quiz

Multiple Choice Quiz: Test Your Knowledge about Polynomial Expression!

Question 1: When a variable refers to a particular number, what is it called?

A. Term
B. Polynomial
C. Constant
D. Coefficient

Question 2: Which type of polynomial has a degree of three?

A. Monomial
B. Binomial
C. Quadratic
D. Cubic

Question 3: Which polynomial has two variables?

A. Monomial
B. Binomial
C. Polynomial with two variables
D. Quadratic

Question 4: What is a polynomial called if the degree of every term is equal?

A. Homogeneous polynomial
B. Symmetric polynomial
C. Cyclic polynomial
D. Binomial

Question 5: What is the product of one or more variables and a constant called?

A. Polynomial
B. Expression
C. Term
D. Degree

Question 6: An algebraic expression containing one or more terms is called what?

A. Polynomial expression
B. Term
C. Constant
D. Variable

Question 7: What is a polynomial called if it remains unchanged when three or more variables interchange their positions?

A. Homogeneous polynomial
B. Symmetric polynomial
C. Cyclic polynomial
D. Binomial

Question 8: How can polynomials be manipulated mathematically?

A. They cannot be manipulated
B. Only by addition and subtraction
C. By addition, subtraction, multiplication, and division
D. Only by multiplication and division

Question 9: In polynomial expressions, what does the degree of a term represent?

A. Number of terms in the polynomial
B. Number of variables
C. Sum of the exponents of the variables
D. Constant term value

Question 10: What kind of polynomial has only one variable?

A. Multivariable polynomial
B. Single-variable polynomial
C. Homogeneous polynomial
D. Cyclic polynomial

Question 11: What is considered the degree of a term in polynomial expressions?

A. The sum of all coefficients
B. The sum of every term's variable index
C. The highest coefficient
D. The constant term

Question 12: What is the coefficient of the term 7x³ in the polynomial 7x³ + 4x² - x + 5?

A. 7
B. 4
C. -1
D. 5

Question 13: If the polynomial f(x) = 2x³ - 5x² + 3x - 7 is divided by (x - 2), what is the remainder according to the Remainder Theorem?

A. -1
B. 3
C. 5
D. 11

Question 14: Which polynomial expression is in the form of a perfect square?

A. x² + 2x + 1
B. x² - x + 1
C. x² + x + 1
D. x² - 2x + 1

Question 15: How do you determine if a polynomial is homogeneous?

A. All terms have the same variable
B. All terms have the same degree
C. All terms have different degrees
D. All terms are constants

Question 16: What is a term with a degree of zero called?

A. Polynomial
B. Constant term
C. Variable term
D. Linear term

Question 17: What is the leading coefficient of the polynomial 4x⁵ - 3x³ + 2x - 1?

A. 4
B. -3
C. 2
D. -1

Question 18: What is the degree of the polynomial 6x⁴ - 5x² + 3x - 7?

A. 1
B. 2
C. 3
D. 4

Question 19: If a polynomial remains unchanged when three or more variables interchange their positions, what is it called?

A. Homogeneous polynomial
B. Symmetric polynomial
C. Cyclic polynomial
D. Binomial

Question 20: What type of polynomial is x² + y² + z²?

A. Monomial
B. Binomial
C. Trinomial
D. Homogeneous polynomial

Question 21: What defines the degree of a polynomial?

A. The sum of constants
B. The number of terms
C. The highest degree of its terms
D. The lowest degree of its terms

Question 22: Which of the following is a symmetric polynomial?

A. x² + y²
B. x³ + 2xy + y³
C. x + y + z
D. x² + xy + y²

Question 23: Which polynomial has a degree of 3 and a leading coefficient of 1?

A. x³ + 3x² + 3x + 1
B. 2x³ + 3x² + x + 5
C. x³ - x + 2
D. x² + x + 1

Question 24: What is the degree of the term 5x²y³z?

A. 2
B. 3
C. 5
D. 6

Question 25: Which factorization method is used for x² - 4?

A. Perfect square
B. Splitting the middle term
C. Difference of squares
D. Sum of cubes

Question 26: Which type of polynomial has only one term?

A. Monomial
B. Binomial
C. Quadratic
D. Cubic

Question 27: What is the constant term in the polynomial 3x² - 5x + 7?

A. 3
B. -5
C. 7
D. 0

Question 28: What is the coefficient of x in the polynomial 4x³ - x² + 5x - 6?

A. 4
B. -1
C. 5
D. -6

Question 29: Which term represents a polynomial with a degree of 0?

A. Linear term
B. Constant term
C. Quadratic term
D. Cubic term

Question 30: If x = 2, what is the value of the polynomial 3x² - 4x + 5?

A. 5
B. 9
C. 7
D. 1

Question 31: Which term in the polynomial 7x⁵ - 3x⁴ + 4x² - 2x + 1 has the highest degree?

A. 7x⁵
B. -3x⁴
C. 4x²
D. -2x

Question 32: What is the degree of the polynomial x³ + 2x² + 3x + 4?

A. 1
B. 2
C. 3
D. 4

Question 33: Which type of polynomial has exactly two terms?

A. Monomial
B. Binomial
C. Trinomial
D. Quadratic

Question 34: Which polynomial is factorized as (x + 2)(x - 2)?

A. x² - 4
B. x² + 4
C. x² - 2x + 4
D. x² + 2x - 4

Question 35: What is the sum of the roots of the polynomial x² - 5x + 6 = 0?

A. -5
B. 6
C. 5
D. 1

Question 36: Which polynomial can be expressed as (x + 3)²?

A. x² + 6x + 9
B. x² - 6x + 9
C. x² + 9
D. x² + 6x + 1

Question 37: What is the value of the polynomial 2x³ - 3x² + x - 1 when x = 1?

A. -1
B. 0
C. -2
D. 1

Question 38: If a polynomial is divided by x - 1, the remainder is 2. What is the value of the polynomial at x = 1?

A. 0
B. 1
C. 2
D. -1

Question 39: What type of polynomial is x³ + x² + x + 1?

A. Monomial
B. Binomial
C. Trinomial
D. Polynomial with four terms

Question 40: Which type of polynomial has a degree of two?

A. Monomial
B. Binomial
C. Quadratic
D. Cubic

Question 41: Which polynomial expression is a perfect square?

A. x² + 4x + 4
B. x² - 4x + 4
C. Both A and B
D. None of the above

Question 42: In the polynomial 5x³ + 3x² - 2x + 7, what is the constant term?

A. 5
B. 3
C. -2
D. 7

Question 43: What is the sum of the coefficients in the polynomial 3x² - 2x + 1?

A. 2
B. 3
C. -2
D. 4

Question 44: Which method is used to solve x² - 4x + 4 = 0?

A. Factorization by grouping
B. Splitting the middle term
C. Perfect square method
D. Difference of squares

Question 45: What is the degree of the term 4xy²z?

A. 1
B. 2
C. 3
D. 4

Question 46: What is a polynomial called if it remains unchanged when two variables interchange their positions?

A. Homogeneous polynomial
B. Symmetric polynomial
C. Cyclic polynomial
D. Monomial

Question 47: Which of the following polynomials is homogeneous?

A. x² + y² + z²
B. x³ + xy + y³
C. x + y + z
D. x² + y + z³

Question 48: What is the constant term in the polynomial 2x⁴ - 3x² + 4x - 5?

A. 2
B. -3
C. 4
D. -5

Question 49: What is the sum of the roots of the polynomial x² - 3x + 2 = 0?

A. -3
B. 3
C. 2
D. -2

Question 50: What is the coefficient of x² in the polynomial 7x² - 3x + 1?

A. 7
B. -3
C. 1
D. -1

Question 51: If a polynomial is divided by x - a, what is the remainder?

A. P(x)
B. P(a)
C. P(-a)
D. 0

Question 52: What is the leading term of the polynomial -7x⁴ + 2x³ - x + 5?

A. -7x⁴
B. 2x³
C. -x
D. 5

Question 53: Which factorization method is used for x³ - 27?

A. Perfect square
B. Splitting the middle term
C. Difference of squares
D. Difference of cubes

Question 54: Which polynomial has a degree of 5?

A. x⁵ + 2x³ - x + 4
B. x⁴ + 4x² - 3
C. x³ + 3x² + 2
D. 5x + 1

Question 55: What is the leading coefficient of the polynomial -2x⁴ + 3x³ - x + 7?

A. -2
B. 3
C. -1
D. 7

Question 56: Which polynomial can be factorized as (x + 1)(x - 1)?

A. x² - 1
B. x² + 1
C. x² - x
D. x² + x

Question 57: Which polynomial has a degree of 1?

A. 3x
B. 2x² + 1
C. x³ + 5x
D. x⁴ - 2x

Question 58: What is the constant term in the polynomial 4x³ - x² + 2x - 9?

A. 4
B. -1
C. 2
D. -9

Question 59: If x = -1, what is the value of the polynomial x² - 2x + 1?

A. 4
B. 0
C. 1
D. 2

Question 60: Which polynomial has a degree of 2?

A. x + 1
B. x³ + 2x + 1
C. x² + 3x + 2
D. x⁴ + x³

Question 61: What is the value of the polynomial x² - 3x + 2 at x = 2?

A. 0
B. 1
C. 2
D. 3

Question 62: Which factorization method is used for x² - 2x - 8?

A. Perfect square
B. Splitting the middle term
C. Difference of squares
D. Sum of cubes

Question 63: What is the coefficient of x in the polynomial 4x³ - x² + 3x - 6?

A. 4
B. -1
C. 3
D. -6

Question 64: What is the degree of the term 3x²y³?

A. 2
B. 3
C. 5
D. 6

Question 65: Which of the following polynomials is symmetric?

A. x² + y²
B. x + y + z
C. x³ + y³
D. x² + xy + y²

Question 66: What is the value of the polynomial 2x² + 3x - 5 at x = 0?

A. 2
B. 3
C. -5
D. 0

Question 67: Which polynomial has a degree of 4?

A. x³ + 2x² - 3x + 1
B. x⁴ + 2x² - x + 1
C. 3x² + 2x - 1
D. 2x + 3

Question 68: What is the remainder when the polynomial x³ - 3x + 2 is divided by x - 1?

A. 0
B. 1
C. -1
D. 2

Question 69: Which of the following is a binomial expression?

A. x + 1
B. x² + x + 1
C. x³ + x² + x + 1
D. x + y

Question 70: What is the highest degree term in the polynomial 3x²y + 4xy² + 5y³?

A. 3x²y
B. 4xy²
C. 5y³
D. y³

Question 71: What is the degree of the polynomial x⁴ - 3x³ + x² - 2x + 1?

A. 1
B. 2
C. 3
D. 4

Question 72: Which method is used to solve x² + 5x + 6 = 0?

A. Factorization by grouping
B. Splitting the middle term
C. Perfect square method
D. Difference of squares

Question 73: Which of the following is a quadratic polynomial?

A. x² - 3x + 2
B. x³ + 2x + 1
C. 2x - 1
D. x⁴ + x² - 1

Question 74: What is the coefficient of x³ in the polynomial -2x³ + 5x² - x + 7?

A. -2
B. 5
C. -1
D. 7

Question 75: Which factorization method is used for x³ + 8?

A. Perfect square
B. Sum of cubes
C. Difference of squares
D. Splitting the middle term

Question 76: Which polynomial is a perfect square?

A. x² - 4x + 4
B. x² + 4x + 4
C. Both A and B
D. Neither A nor B

Question 77: What is the sum of the coefficients in the polynomial 4x³ - 2x² + x - 5?

A. -2
B. 1
C. -1
D. 4

Question 78: If x = 2, what is the value of the polynomial 3x³ - x² + 2x - 1?

A. 19
B. 23
C. 25
D. 27

Question 79: Which polynomial is a difference of squares?

A. x² - 9
B. x² + 9
C. x² - x + 1
D. x² + x - 1

Question 80: What is the degree of the polynomial 5x⁶ - 3x⁴ + x² - 7?

A. 2
B. 4
C. 6
D. 7

Question 81: Which of the following is a binomial?

A. x + 2
B. x² + x + 1
C. x³ + 1
D. x + y + z

Question 82: What is the constant term in the polynomial x³ + 3x² + 3x + 1?

A. 0
B. 1
C. 3
D. -1

Question 83: Which polynomial has a degree of 3?

A. x³ + x² + x + 1
B. x² + x + 1
C. x + 1
D. x⁴ + x³

Question 84: What is the degree of the term 7x³y²?

A. 3
B. 2
C. 5
D. 6

Question 85: Which of the following is a cubic polynomial?

A. x³ + 3x² + 3x + 1
B. x² + 3x + 2
C. x + 1
D. x⁴ + x² - 1

Question 86: Which factorization method is used for x² - 6x + 9?

A. Perfect square
B. Splitting the middle term
C. Difference of squares
D. Sum of cubes

Question 87: What is the leading term of the polynomial -5x³ + 4x² - x + 2?

A. -5
B. 4
C. -x
D. -5x³

Question 88: Which of the following polynomials is cyclic?

A. x² + y²
B. x + y + z
C. x³ + y³ + z³
D. x + y

Active Math Class

MCQ Test- Polynomial Expression in Nature and Technology (Class- 9, Experience- 4)

Multiple Choice Quiz: Test Your Knowledge about Polynomial Expression!

Question 1: When a variable refers to a particular number, what is it called?

Question 2: Which type of polynomial has a degree of three?

Question 3: Which polynomial has two variables?

Question 4: What is a polynomial called if the degree of every term is equal?

Question 5: What is the product of one or more variables and a constant called?

Question 6: An algebraic expression containing one or more terms is called what?

Question 7: What is a polynomial called if it remains unchanged when three or more variables interchange their positions?

Question 8: How can polynomials be manipulated mathematically?

Question 9: In polynomial expressions, what does the degree of a term represent?

Question 10: What kind of polynomial has only one variable?

Question 11: What is considered the degree of a term in polynomial expressions?

Question 12: What is the coefficient of the term 7x3 in the polynomial 7x3 + 4x2 - x + 5?

Question 13: If the polynomial f(x) = 2x3 - 5x2 + 3x - 7 is divided by (x - 2), what is the remainder according to the Remainder Theorem?

Question 14: Which polynomial expression is in the form of a perfect square?

Question 15: How do you determine if a polynomial is homogeneous?

Question 16: What is a term with a degree of zero called?

Question 17: What is the leading coefficient of the polynomial 4x5 - 3x3 + 2x - 1?

Question 18: What is the degree of the polynomial 6x4 - 5x2 + 3x - 7?

Question 19: If a polynomial remains unchanged when three or more variables interchange their positions, what is it called?

Question 20: What type of polynomial is x2 + y2 + z2?

Question 21: What defines the degree of a polynomial?

Question 22: Which of the following is a symmetric polynomial?

Question 23: Which polynomial has a degree of 3 and a leading coefficient of 1?

Question 24: What is the degree of the term 5x2y3z?

Question 25: Which factorization method is used for x2 - 4?

Question 26: Which type of polynomial has only one term?

Question 27: What is the constant term in the polynomial 3x2 - 5x + 7?

Question 28: What is the coefficient of x in the polynomial 4x3 - x2 + 5x - 6?

Question 29: Which term represents a polynomial with a degree of 0?

Question 30: If x = 2, what is the value of the polynomial 3x2 - 4x + 5?

Question 31: Which term in the polynomial 7x5 - 3x4 + 4x2 - 2x + 1 has the highest degree?

Question 32: What is the degree of the polynomial x3 + 2x2 + 3x + 4?

Question 33: Which type of polynomial has exactly two terms?

Question 34: Which polynomial is factorized as (x + 2)(x - 2)?

Question 35: What is the sum of the roots of the polynomial x2 - 5x + 6 = 0?

Question 36: Which polynomial can be expressed as (x + 3)2?

Question 37: What is the value of the polynomial 2x3 - 3x2 + x - 1 when x = 1?

Question 38: If a polynomial is divided by x - 1, the remainder is 2. What is the value of the polynomial at x = 1?

Question 39: What type of polynomial is x3 + x2 + x + 1?

Question 40: Which type of polynomial has a degree of two?

Question 41: Which polynomial expression is a perfect square?

Question 42: In the polynomial 5x3 + 3x2 - 2x + 7, what is the constant term?

Question 43: What is the sum of the coefficients in the polynomial 3x2 - 2x + 1?

Question 44: Which method is used to solve x2 - 4x + 4 = 0?

Question 45: What is the degree of the term 4xy2z?

Question 46: What is a polynomial called if it remains unchanged when two variables interchange their positions?

Question 47: Which of the following polynomials is homogeneous?

Question 48: What is the constant term in the polynomial 2x4 - 3x2 + 4x - 5?

Question 49: What is the sum of the roots of the polynomial x2 - 3x + 2 = 0?

Question 50: What is the coefficient of x2 in the polynomial 7x2 - 3x + 1?

Question 51: If a polynomial is divided by x - a, what is the remainder?

Question 52: What is the leading term of the polynomial -7x4 + 2x3 - x + 5?

Question 53: Which factorization method is used for x3 - 27?

Question 54: Which polynomial has a degree of 5?

Question 55: What is the leading coefficient of the polynomial -2x4 + 3x3 - x + 7?

Question 56: Which polynomial can be factorized as (x + 1)(x - 1)?

Question 57: Which polynomial has a degree of 1?

Question 58: What is the constant term in the polynomial 4x3 - x2 + 2x - 9?

Question 59: If x = -1, what is the value of the polynomial x2 - 2x + 1?

Question 60: Which polynomial has a degree of 2?

Question 61: What is the value of the polynomial x2 - 3x + 2 at x = 2?

Question 62: Which factorization method is used for x2 - 2x - 8?

Question 63: What is the coefficient of x in the polynomial 4x3 - x2 + 3x - 6?

Question 64: What is the degree of the term 3x2y3?

Question 65: Which of the following polynomials is symmetric?

Question 66: What is the value of the polynomial 2x2 + 3x - 5 at x = 0?

Question 67: Which polynomial has a degree of 4?

Question 68: What is the remainder when the polynomial x3 - 3x + 2 is divided by x - 1?

Question 69: Which of the following is a binomial expression?

Question 70: What is the highest degree term in the polynomial 3x2y + 4xy2 + 5y3?

Question 71: What is the degree of the polynomial x4 - 3x3 + x2 - 2x + 1?

Question 72: Which method is used to solve x2 + 5x + 6 = 0?

Question 73: Which of the following is a quadratic polynomial?

Question 74: What is the coefficient of x3 in the polynomial -2x3 + 5x2 - x + 7?

Question 75: Which factorization method is used for x3 + 8?

Question 76: Which polynomial is a perfect square?

Question 77: What is the sum of the coefficients in the polynomial 4x3 - 2x2 + x - 5?

Question 12: What is the coefficient of the term 7x³ in the polynomial 7x³ + 4x² - x + 5?

Question 13: If the polynomial f(x) = 2x³ - 5x² + 3x - 7 is divided by (x - 2), what is the remainder according to the Remainder Theorem?

Question 17: What is the leading coefficient of the polynomial 4x⁵ - 3x³ + 2x - 1?

Question 18: What is the degree of the polynomial 6x⁴ - 5x² + 3x - 7?

Question 20: What type of polynomial is x² + y² + z²?

Question 24: What is the degree of the term 5x²y³z?

Question 25: Which factorization method is used for x² - 4?

Question 27: What is the constant term in the polynomial 3x² - 5x + 7?

Question 28: What is the coefficient of x in the polynomial 4x³ - x² + 5x - 6?

Question 30: If x = 2, what is the value of the polynomial 3x² - 4x + 5?

Question 31: Which term in the polynomial 7x⁵ - 3x⁴ + 4x² - 2x + 1 has the highest degree?

Question 32: What is the degree of the polynomial x³ + 2x² + 3x + 4?

Question 35: What is the sum of the roots of the polynomial x² - 5x + 6 = 0?

Question 36: Which polynomial can be expressed as (x + 3)²?

Question 37: What is the value of the polynomial 2x³ - 3x² + x - 1 when x = 1?

Question 39: What type of polynomial is x³ + x² + x + 1?

Question 42: In the polynomial 5x³ + 3x² - 2x + 7, what is the constant term?

Question 43: What is the sum of the coefficients in the polynomial 3x² - 2x + 1?

Question 44: Which method is used to solve x² - 4x + 4 = 0?

Question 45: What is the degree of the term 4xy²z?

Question 48: What is the constant term in the polynomial 2x⁴ - 3x² + 4x - 5?

Question 49: What is the sum of the roots of the polynomial x² - 3x + 2 = 0?

Question 50: What is the coefficient of x² in the polynomial 7x² - 3x + 1?

Question 52: What is the leading term of the polynomial -7x⁴ + 2x³ - x + 5?

Question 53: Which factorization method is used for x³ - 27?

Question 55: What is the leading coefficient of the polynomial -2x⁴ + 3x³ - x + 7?

Question 58: What is the constant term in the polynomial 4x³ - x² + 2x - 9?

Question 59: If x = -1, what is the value of the polynomial x² - 2x + 1?

Question 61: What is the value of the polynomial x² - 3x + 2 at x = 2?

Question 62: Which factorization method is used for x² - 2x - 8?

Question 63: What is the coefficient of x in the polynomial 4x³ - x² + 3x - 6?

Question 64: What is the degree of the term 3x²y³?

Question 66: What is the value of the polynomial 2x² + 3x - 5 at x = 0?

Question 68: What is the remainder when the polynomial x³ - 3x + 2 is divided by x - 1?

Question 70: What is the highest degree term in the polynomial 3x²y + 4xy² + 5y³?

Question 71: What is the degree of the polynomial x⁴ - 3x³ + x² - 2x + 1?

Question 72: Which method is used to solve x² + 5x + 6 = 0?

Question 74: What is the coefficient of x³ in the polynomial -2x³ + 5x² - x + 7?

Question 75: Which factorization method is used for x³ + 8?

Question 77: What is the sum of the coefficients in the polynomial 4x³ - 2x² + x - 5?

Question 78: If x = 2, what is the value of the polynomial 3x³ - x² + 2x - 1?

Question 80: What is the degree of the polynomial 5x⁶ - 3x⁴ + x² - 7?

Question 82: What is the constant term in the polynomial x³ + 3x² + 3x + 1?

Question 84: What is the degree of the term 7x³y²?

Question 86: Which factorization method is used for x² - 6x + 9?

Question 87: What is the leading term of the polynomial -5x³ + 4x² - x + 2?