NCERT Book Factorisation MCQ Questions Class 8 Maths Chapter 14

Factorisation MCQ Questions Class 8 Maths Chapter 14

 

Chapter 14

Factorisation

 

Question 1:

Find the common factors in 4x², 36x

(a) 9x

(b) 4x

(c) 2x

(d) 3x

Ans:

4x² = 4 × x × x

36x = 4 × 9 × x

(b) 4x is the common factor.

 

Question 2:

Find the common factors in 15y, 60y²

(a) 9y

(b) 3y

(c) 15y

(d) 4y

Ans:

15y = 15×y

60y² = 15 × 4 × y × y

(c) 15y is the common factor

 

Question 3:

Factorise x³ + 2xy + 3x² + 4x

(a) y (x² + y + 4)

(b) x (x + y + 4)

(c) y² (x – 4)

(d) x (x² + 2y + 3x + 4)

Ans:

x³ + 2xy + 3x³ + 4x

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

= x (x² + 2y + 3x + 4) (d)

 

Question 4:

Factorise 5x – 25x²

(a) 5x (1 – 5x)

(b) 5x (1 – 2)

(c) 2x

(d) 5x²

Ans:

= 5 × x – 5 × 5 × x × x

= 5x (1 – 5x) (a)

 

Question 5:

Factorise x² + 6x + 9

(a) (x – 3)²

(b) (x + 3)²

(c) (x + 3)³

(d) x – 3

Ans:

= x² + 6x + 9

= x² + 3 × x × 2 + 3²

= (x + 3)² (b)

 

Question 6:

Factorise 4y² – 12y + 9

(a) (2y – 3)²

(b) (2y + 3)²

(c) 2y – 3

(d) 2y + 3

Ans:

= 4y² – 12y + 9

= 2²y² – 3 × 2 × 2 × y + 3²

= (2y – 3)² (a)

 

Question 7:

Factorise n² – 36

(a) n + 6

(b) (n – 6) (n + 6)

(c) n – 6

(d) 6 + n

Ans:

n² – 36

= (n + 6) (n – 6) (b)

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

Question 8:

Find the factors of x² – 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

x² – 11x + 28 = x² – 7x – 4x + 28

= x (x – 7) – 4 (x – 7)

= (x – 4) (x – 7) (c)

 

Question 9:

Factorise 25m² – 36n²

(a) 5m + 6n

(b) 5m – 6n

(c) (5m – 6n)²

(d) (5m + 6n (5m – 6n)

Ans:

25m² – 36n²

= 5²m² – 6²n²

(d) = (5m + 6n) (5m – 6n)

 

Question 10:

Factorise 6y² + 2y + 3y³

(a) (2 + y)²

(b) (2 – y)³

(c) 2 + 3 (2 + y)

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

Ans:

6y² + 2y + 3y³

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

= y (6y + 2 + 3y²)

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

 

Question 11:

9x², 6xy find the common factor

(a) 2x

(b) 4x

(c) 3x

(d) 3x²

Ans

(c) 3x is the common factor.

 

Question 12:

Carry out the division 81 x² y ÷ 9x

(a) x² y

(b) 3x² y

(c) 9x y

(d) 9x² y

Ans:

81x² y/9x = 9×9×x×x×y/9×x

(c) = 9xy

 

Question 13:

Find solution in x³ + 3x + 2 for x = 2

(a) 12

(b) 16

(c) 18

(d) 14

Ans:

x³ + 3x + 2 for x = 2

(2)³+ 3 × 2 + 2

8 + 6 + 2 = 16 (b)

 

Question 14:

Divide as directed

256 x² – 169 y² ÷ (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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