**Factorisation MCQ Questions Class 8 Maths Chapter 14**

__Chapter 14__

__Chapter 14__

__Factorisation__

__Factorisation__

**Question 1: **

**Find the common factors in 4x ^{2}, 36x **

**(a) 9x **

**(b) 4x **

**(c) 2x **

**(d) 3x **

**Ans: **

**4x ^{2} = 4 × x × x **

**36x = 4 × 9 × x **

**(b) 4x is the common factor. **

** **

**Question 2: **

**Find the common factors in 15y, 60y ^{2}**

**(a) 9y **

**(b) 3y **

**(c) 15y **

**(d) 4y **

**Ans: **

**15y = 15×y **

**60y ^{2} = 15 × 4 × y × y **

**(c) 15y is the common factor **

** **

**Question 3: **

**Factorise x ^{3} + 2xy + 3x^{2} + 4x **

**(a) y (x ^{2} + y + 4) **

**(b) x (x + y + 4) **

**(c) y ^{2} (x – 4) **

**(d) x (x ^{2} + 2y + 3x + 4) **

**Ans: **

**x ^{3} + 2xy + 3x^{3} + 4x **

**= (x × x × x) + (2 × x × y) + (3 × x × x) + (4 × y) **

**= x (x ^{2} + 2y + 3x + 4) (d) **

** **

**Question 4: **

**Factorise 5x – 25x ^{2} **

**(a) 5x (1 – 5x) **

**(b) 5x (1 – 2) **

**(c) 2x **

**(d) 5x ^{2} **

**Ans: **

**= 5 × x – 5 × 5 × x × x **

**= 5x (1 – 5x) (a) **

** **

**Question 5: **

**Factorise x ^{2} + 6x + 9 **

**(a) (x – 3) ^{2} **

**(b) (x + 3) ^{2} **

**(c) (x + 3) ^{3} **

**(d) x – 3 **

**Ans: **

**= x ^{2} + 6x + 9 **

**= x ^{2} + 3 × x × 2 + 3^{2} **

**= (x + 3) ^{2} (b) **

** **

**Question 6: **

**Factorise 4y ^{2} – 12y + 9 **

**(a) (2y – 3) ^{2} **

**(b) (2y + 3) ^{2} **

**(c) 2y – 3 **

**(d) 2y + 3 **

**Ans: **

**= 4y ^{2} – 12y + 9 **

**= 2 ^{2}y^{2} – 3 × 2 × 2 × y + 3^{2} **

**= (2y – 3) ^{2} (a) **

** **

**Question 7: **

**Factorise n ^{2} – 36 **

**(a) n + 6 **

**(b) (n – 6) (n + 6) **

**(c) n – 6 **

**(d) 6 + n **

**Ans: **

**n ^{2} – 36 **

**= (n + 6) (n – 6) (b) **

**In case you have missed:- Previous Chapter MCQ Questions**

**Question 8: **

**Find the factors of x ^{2} – 11x + 28 **

**(a) (x – 7) ^{2} **

**(b) (x + 4) ^{2} **

**(c) (x – 4) (x – 7) **

**(d) (x + 4) (x – 7) **

**Ans: **

**28 = (-7) × (-4) and (-7) + (-4) = -11 **

**28 = 7 × 4 and 7 + 4 = 11 **

**x ^{2} – 11x + 28 = x^{2} – 7x – 4x + 28 **

**= x (x – 7) – 4 (x – 7) **

**= (x – 4) (x – 7) (c) **

** **

**Question 9: **

**Factorise 25m ^{2} – 36n^{2} **

**(a) 5m + 6n **

**(b) 5m – 6n **

**(c) (5m – 6n) ^{2} **

**(d) (5m + 6n (5m – 6n) **

**Ans: **

**25m ^{2} – 36n^{2} **

**= 5 ^{2}m^{2} – 6^{2}n^{2} **

**(d) = (5m + 6n) (5m – 6n) **

** **

**Question 10: **

**Factorise 6y ^{2} + 2y + 3y^{3} **

**(a) (2 + y) ^{2} **

**(b) (2 – y) ^{3} **

**(c) 2 + 3 (2 + y)**

**(d) y [2 + 3 (2 + y)] **

**Ans: **

**6y ^{2} + 2y + 3y^{3} **

**= (3 × 2 × y × y) + 2 × y + (3 × y × y × y) **

**= y (6y + 2 + 3y ^{2}) **

**= y [2 + 3 (2 + y)] (d) **

** **

**Question 11: **

**9x ^{2}, 6xy find the common factor **

**(a) 2x **

**(b) 4x**

**(c) 3x **

**(d) 3x ^{2} **

**Ans **

**(c) 3x is the common factor.**

** **

**Question 12: **

**Carry out the division 81 x ^{2} y **

**÷ 9x**

**(a) x ^{2} y **

**(b) 3x ^{2} y **

**(c) 9x y **

**(d) 9x ^{2} y **

**Ans: **

**81x ^{2} y/9x = 9**

**×9×x×x×y/9×x**

**(c) = 9xy **

** **

**Question 13: **

**Find solution in x ^{3} + 3x + 2 for x = 2 **

**(a) 12 **

**(b) 16 **

**(c) 18 **

**(d) 14 **

**Ans: **

**x ^{3} + 3x + 2 for x = 2 **

**(2) ^{3}+ 3 × 2 + 2 **

**8 + 6 + 2 = 16 (b) **

** **

**Question 14: **

**Divide as directed **

**256 x ^{2} – 169 y^{2} **

**÷ (16x – 13y)**

**(a) 16x + 13y **

**(b) 13y – 16x **

**(c) 16x – 13y **

**(d) 13y + 6 **

**Ans: **

** **

**Question 15: **

**If 40 y6 is a multiple of 4, where y is a digit, what might be the value of y? **

**(a) 11 **

**(b) 10 **

**(c) 9 **

**(d) 7 **

**Ans: **

When we put y = 9 then we get the 4096÷4 = 1024

y = 9 (c)

**In case you have missed:- Next Chapter MCQ Questions**

**Here is your solution of NCERT Factorisation MCQ Questions Class 8 Maths Chapter 14**

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