CBSE Class 8 Mathematics Factorisation MCQs

Question: One of the factors of a³(b – c)³ + b³(c – a)³ + c³ (a – b)³ is
a) all the above
b) b – c
c) a – b
d) c – a

Answer: all the above

Question: One of the factor of a³ + 8b³ – 64c³ + 24 abc is
a) a + 2b – 4c
b) a + 2b + 4c
c) a – 2b + 4c
d) a – 2b – 4c

Answer: a + 2b – 4c

Question: The value of 0.76 X 0.76 X 0.76 + 0.24 X 0.24 X 0.24 / 0.76 X 0.76 − 0.76 X 0.24 + 0.24 + 0.24 is
a) 1
b) 0.1
c) 0.52
d) 0.01

Answer: 1

Question: The factors of a² + b – ab – a are
a) (a–1) (a – b)
b) (a + 1) (a – b)
c) (a + b) (a– 1)
d) none

Answer: (a–1) (a – b)

Question: One of the factors of x² + 1/x² + 2 − 2x − 2/x is 
a) x + 1/x
b) x − 1/x
c) x + 1/x − 1
d) None of these

Answer: x + 1/x

Question: If the factors of a² + b² + 2(ab + bc + ca) are (a + b + m) and (a + b + nc), then the value of m + n is
a) 2
b) 6
c) 4
d) 0

Answer: 2

Question: If ( x² + 3x + 5) ( x² − 3x + 5) = m² − n², then m =
a) x² + 5
b) x² – 3x
c) 3x
d) none

Answer: x² + 5

Question: One of the factors of (a² – b²) (c² – d²) – 4abcd is
a) cannot be determined
b) ac – bd + bc – ad
c) none of these
d) (ac – bd + bc + ad)

Answer: cannot be determined

Question: The factors of √3x² + 11x + 6√3 are
a) (x −3√3)(√3x + 2)
b) ac − bd + bc − ad
c) (x + 3√3) (√3x + 2)
d) None of these

Answer: (x −3√3)(√3x + 2)

Question: One of the factors of x⁷ + xy⁶ is
a) x² + y²
b) x
c) y
d) None of these

Answer: x² + y²

Question: The real factors of x² + 4 are
a) does not exist
b) none of these
c) (x + 2) (x – 2)
d) (x² + 2) (x² – 2)

Answer: does not exist

Question: One of the factors of x⁴ + 4 is
a) x² – 2x +2
b) none of these
c) x² + 2
d) x² – 2

Answer: x² – 2x +2

Question: The factors of x⁴ + 2x² + 9 is
a) (x² – 2x +3) (x² + 2x +3)
b) (x² + 3) (x²–3)
c) factorization is not possible
d) none of these

Answer: (x² – 2x +3) (x² + 2x +3)

Question: The factors of x² + xy – 2xz – 2yz are
a) (x + y) (x – 2z)
b) (x + y) (x + 2z)
c) (x – y) (x + 2z)
d) (x – y) (x – 2z)

Answer: (x + y) (x – 2z)

Question: x⁹ – x is having
a) 5 factors
b) 2 factors
c) 4 factors
d) cannot be determined

Answer: 5 factors

Question: The factors of 1 – p³ are
a) (1– p) (1 + p + p²)
b) (1 + p) (1 + p²)
c) (1 + p) (1 – p – p²)
d) (1 + p) (1– p²)

Answer: (1– p) (1 + p + p²)

Question: The factors of 15x² – 26x + 8 are
a) (3x – 4) ( 5x – 2)
b) (3x + 4) (5x + 2)
c) (2x – 4) (5x + 2)
d) (3x + 4) (5x – 2)

Answer: (3x – 4) ( 5x – 2)

Question: If 3x + 3y = 24 and 2x – 3y = 12 then the value of xy is
a) 18
b) 10
c) 12
d) 14

Answer: 18

Question: One of the factors of (a2 − b²) (c² − d²) −4abcd is
a) (ac – bd + bc + ad)
b) Cannot be determined
c) ac + bd + bc + ad
d) ab + bd –bc – ad

Answer: (ac – bd + bc + ad)

Question: One factor od a²−c²+b²
a) (a – b + c)
b) None of these
c) (a + b – c)
d) (a + b + c)

Answer: (a – b + c)
 

Question. What is the HCF of 2x²y & 3xy² ?
(i) 6xy
(ii) 6x²y² 
(iii) xy
(iv) x²y²

Question. Which of the following is a factor of 6xy – 4y + 6 – 9x ?
(i) 2x + y
(ii) x -- y
(iii) 2x -- 3
(iv) 3x -- 2

Question. Which of the following is a factor of y² – 7y + 12 ?
(i) 2y + 3
(ii) y + 3
(iii) y -- 3
(iv) 2y – 2

Question. Which of the following is a factor of m⁴ – 256 ?
(i) m + 4
(ii) m² + 4
(iii) m² -- 4
(iv) m + 16

Question. Which of the following is a factor of z² – 4z -- 12 ?
(i) z + 6
(ii) z -- 6
(iii) z² -- 12
(iv) z + 2

Question. What is the value of 2x – 3y + 4z at x=2, y = 0 & z =1
(i) 4
(ii) 6
(iii) 8
(iv) 10