CBSE Class 9 Maths Polynomials MCQs Set 02

Question. The product of x²y and x/y is equal to the quotient obtained when x2 is divided by
(A) 0
(B) 1
(C) x
(D) 1/x

Answer: D

Question. If (3x – 4) (5x + 7) = 15x² – ax – 28 then a =
(A) 1
(B) – 1
(C) – 2
(D) none

Answer: B

Question. The product of two factors with unlike signs is
(A) positive
(B) negative
(C) cannot be determined
(D) none of these

Answer: B

Question. Subtract x³ – xy² + 5x²y – y³ from –y3 –6x²y – xy² + x³
(A) 2y³ – 8x²y + 3xy² – 2x³
(B) 2x³ – 2xy² – x²y – 2y³
(C) – 11x²y
(D) none of these

Answer: C

Question. Which of the following expressions is a polynomial?
(A) 3x^{1/ 2} - 4x +3
(B) 4x² -√3 x + 5
(C) 3x² y - 2xy + 5x⁴
(D) 2x⁴ + 3/x² - 1

Answer: C

Question. The degree of the polynomial 5x³ – 6x³y + 4y² – 8 is
(A) 3
(B) 4
(C) 2
(D) can’t be determined

Answer: B

Question. What must be added to x³ + 3x – 8 to get 3x³ + x² + 6?
(A) 2x³ + x² – 3x + 14
(B) 2x² + x² + 14
(C) 2x³ + x² – 6x – 14
(D) none of these

Answer: A

Question. What must be subtracted from x³ – 3x² + 5x – 1 to get 2x³ + x² – 4x + 2?
(A) – x³ + 4x² – 9x + 3
(B) x³ + 4x² – 9x + 3
(C) x³ – 4x² + 9x – 3
(D) – x³ – 4x² + 9x – 3

Answer: D

Question. Divide (– 56 mnp²) by (7 mnp)
(A) – 8p
(B) 8 mnp
(C) 8 p
(D) none

Answer: A

Question. A factor of x³ – 1 is
(A) x – 1
(B) x² + x + 1
(C) either A or B
(D) none of these

Answer: C

Question. The product of 2/3 xy by 3/2 xz is 
(A) 1/6 xyz
(B) x²yz
(C) 6 x²yz
(D) none of these

Answer: B

Question. Divide 8x²y² – 6xy² + 10x²y³ by 2xy
(A) 4xy – 3y + 5xy²
(B) 4xy + 3y – 5xy²
(C) 8xy + 3y – 5xy²
(D) 4xy – 3y – 5xy²

Answer: A

Question. The product of (x² + 3x + 5) and (x² – 1) is
(A) x⁴ + 3x³ – 4x² – 3x – 5
(B) x⁴ + 3x³ + 4x² – 3x – 5
(C) x⁴ + 3x³ + 4x² + 3x – 5
(D) none of these

Answer: B

Question. If quotient = 3x² – 2x +1, remainder = 2x – 5 and divisor = x + 2 then the dividend is
(A) 3x³ – 4x² + x – 3
(B) 3x³ – 4x² – x + 3
(C) 3x³ + 4x² – x + 3
(D) 3x³ + 4x² – x – 3

Answer: D

Question. If 0 < a < 1, then the value of a+1/a is
(A) Greater than 2
(B) Less than 2
(C) Greater than 4
(D) Less than 4

Answer: A

Question. The value of (0.31)³ - (0.21)³/0.0961 0.0651 0.0441 is
(A) 0
(B) 0.1
(C) 0.2
(D) 0.04

Answer: B

Question. The remainder obtained when x⁶ + 3x² + 10 is divided by x³ + 1 is
(A) x² – 11
(B) x³ – 1
(C) 3x + 11
(D) x³ + x

Answer: C

Question. The value of the product (3+5/x)(9-15/x + 25/x²) at x = 1 is
(A) 150
(B) 148
(C) 152
(D) 140

Answer: C

Question. (9p – 5q)² + 180 pq is equivalent to
(A) (5p + 9q)²
(B) (5p – 9q)²
(C) (9p + 5q)²
(D) (9p – 6q)²

Answer: C

Question. (3x – 5q)³ – (5x – 2y)³ + (2x + 3y)³ is equal to
(A) (3x – 5y) (5x – 2y) (2x + 3y)
(B) 3(3x – 5y) (4x – 2y) (2x + 3y)
(C) (3x – 5y) (2y – 5x) (2x + 3y)
(D) –3(3x – 5y) (5x – 2y) (2x + 3y)

Answer: D

Question. The inequality b² + 5 > 9b + 12 is satisfied by
(A) b> 9 (or) b < 1
(B) b > 9 (or) b < 0
(C) b = 10 (or) b = –1
(D) b > 8 (or) b < 0

Answer: C

Question. If a + b + c = 9 and ab + bc + ca = 26, then the value of a³ + b³ + c³ – 3abc is
(A) 27
(B) 39
(C) 495
(D) 729

Answer: A

Question. The quotient when 8x2y² + 6xy² + 10x²y³ is divided by 2xy is
(A) 4xy – 3y + 5xy²
(B) 4xy + 3y – 5xy²
(C) 8xy + 3y – 5xy²
(D) 4xy – 3y – 5xy²

Answer: A

Question. The value of (x + 3)³ – (x – 3)³ is
(A) 0
(B) 1 – x³
(C) 3x² – 5
(D) 18x² + 54

Answer: D

Question. The product of (4x – 3y) and (16x² + 12xy + 9y²) is
(A) (4x – 3y)³
(B) (16x² + 12xy + 9y2)²
(C) 64x³ – 27y³
(D) (x – y)²

Answer: C

Question. If x²+1/x² = 79 , then x+1/x = ____
(A) √75
(B) 9
(C) √79
(D) 8

Answer: B

Question. If a + b + c = 10 and a² + b² + c² = 36 then ab + bc + ca =.......
(A) 136
(B) 64
(C) 32
(D) 68

Answer: C

Question. If x – y = 4 and xy = 21, then x³ – y³ =
(A) 361
(B) 316
(C) –188
(D) 360

Answer: B

Question. The product of 2/3 xy by 3/2 xz is 
(A) 1/6 xyz
(B) x²yz
(C) 6x²yz
(D) xyz

Answer: B

Question. Which of the following is not a polynomial is x ?
(A) √3x² + √2 √x + 5
(B) x² - 5x + 6
(C) x⁴ + 5x³ – 2 √3x + 8
(D) 3x + 11

Answer: A

Question. The degree of constant polynomial is ....
(A) 1
(B) 2
(C) 0
(D) 3

Answer: C

Question. If x - 1/2 = √6 , then x² + 1/x² = __
(A) 2
(B) 4
(C) 6
(D) 8

Answer: D

Question. The quotient when (–56 mnp²) is divided by (7 mnp) is
(A) –8p
(B) 8 mnp
(C) 8 p
(D) 8 m

Answer: A

Question. On dividing 8x²y² by –2xy, we get quotient
(A) –4xy²
(B) 4xy²
(C) 4x²y³
(D) 4xy

Answer: A

Question. If 3x – 7y = 10 and xy = –1, then the value of 9x² + 49y² is
(A) 58
(B) 142
(C) 104
(D) –104 

Answer: A

Question. The value of (67.542)² - (32.458)²/75.458 40.374
(A) 1
(B) 10
(C) 100
(D) 20

Answer: C

Question. If 2x + y = 5, then 4x + 2y is equal to
(A) 5
(B) 8
(C) 9
(D) 10

Answer: D

Question. On dividing 29x – 6x² – 28 by 3x – 4, we get quotient
(A) –2x + 7
(B) 2x – 7
(C) 2x + 7
(D) 2x

Answer: A

Question. If (0.42)³ + (0.25)³ + (0.33)^{3 -} 3 x 0.42 x 0.25 x 0.33 / (0.42)² + (0.25)² + (0.33)² - 0.42 x 0.25 - 0.25 x 0.33 - 0.33 x 0.42 then the value of y is
(A) 1
(B) 0
(C) 1/2
(D) 2 

Answer: A

Question. If the product of two numbers is 10 and the sum is 7, then the larger of the two numbers is
(A) –2
(B) 2
(C) 5
(D) 4. 1/4

Answer: C

Question. Find the missing term in the following problem 

(A) 2xy
(B) –2xy
(C) 12xy
(D) –12xy

Answer: B

Question. The value of 7.83 x 7.83 - 1.17 x 1.17 /6.66 is
(A) 9
(B) 6.66
(C) 1.176
(D) 8

Answer: A

Question. On multiply 7x² by – 6x³, we get product
(A) 42x6
(B) –42x
(C) –42x⁵
(D) 40x

Answer: C

Question. If x³ + y³ + z³= 3xyz, then the relation between x, y and z is
(A) x + y + z = 0
(B) x = y = z
(C) Either x + y + z = 0 or x = y = z
(D) Neither x + y + z = 0 nor x = y = z

Answer: C

Question. The degree of polynomial 6x³ + 7x² + 10 is ....
(A) 3
(B) 2
(C) 1
(D) 4

Answer: A

Question. The factors of y² + 3y + y + 3 are
(A) (y + 1) (y + 3)
(B) y² + 32
(C) (y² + 3)²
(D) (y + 2) (y + 1)

Answer: A

Question. 

 

Answer: B

Question. If x+1/x = √5 , then the value of x³+1/x³ is
(A) 8 √5
(B) 2 √5
(C) 5 √5
(D) 7√5

Answer: B

Question. The factors of (1 – 6z + 9z²) are
(A) (1 + 3z)(1 – 3z)
(B) (z + 3)²
(C) (3z – 1)²
(D) (z – 3)²

Answer: C

Question. The factors of x² - 2 √3x + 3 are
(A) (x + √3)²
(B) (x - √3)²
(C) (x + √3)(x - √3)
(D) (x + 2)(x + √3)

Answer: B

Question. The factors of (a⁴b⁴ – 16c⁴) are
(A) 4(a²b² + c² )(ab - 2c)(ab + 2c)
(B) (a²b² - 4c² )(ab + 2c)²
(C) (a²b² + 4c² )(ab + 2c)(ab - 2c)
(D) (a²b² - 4c² )2(ab + 2c)(ab + 4c)

Answer: C

Question. If ‘a’ is an integer such that a+1/a = 17/4 , then the value of (a - 1/a) is
(A) 4
(B) 13/4
(C) 17/4
(D) 15/4

Answer: D

Question. The factors of (a² – b² – 4ac + 4c²) are
(A) (a + 2c + b)(a - 2c - b)
(B) (a - 2c + b)(a - 2c - b)
(C) (a - 2c + c)(a + b + 2c)
(D) (a - 2b)(a + 2b + 2c)

Answer: B

Question. The factors of (x² – 1 – 2a²) are
(A) (x - a -1)(x + a +1)
(B) (x - a +1)(x + a +1)
(C) (x + a +1)(x + a -1)
(D) (x + a -1)(x - a +1)

Answer:  A

Question. What is the remainder when (4x² – 3x² + 2x – 1) is divided by (x + 2)?
(A) 49
(B) 48
(C) – 49
(D) – 48

Answer: C