Question

Factorize by splitting the middle term :

(a) 9x2 – 3x—9
(b) x2 + 14x + 40
(c) 5x2+ 16x+3​

Answer 1

Correct Question:

Factorize by splitting the middle term :

(a) 9x^2 – 24x—9

(b) x^2 + 14x + 40

(c) 5x^2+ 16x+3

Answer:

(a) (x-3)(9x+3)

(b) (x+10)(x+4)

(c) (x+3)(5x+1)

Step-by-step explanation:

In middle term splitting method, we have to split the middle term into two terms such that their products will be equal to the product of other two terms.

$(a)9 {x}^{2} - 24x - 9 \\ \\ = 9 {x}^{2} - 27x + 3x - 9 \\ \\ = 9x(x - 3) + 3(x - 3) \\ \\ = (x - 3)(9x + 3)$

$(b) {x}^{2} + 14x + 40 \\ \\ = {x}^{2} + 10x + 4x + 40 \\ \\ = x(x + 10) +4 (x + 10) \\ \\ = (x + 10)(x + 4)$

$(c)5 {x}^{2} + 16x + 3 \\ \\ = 5 {x}^{2} + 15x + x + 3 \\ \\ = 5x(x + 3) + 1(x + 3) \\ \\ = (x + 3)(5x + 1)$

Answer 2

a)(x-3)(9x+3)

b)(x+10)(x+4)

c)(x+3)(5x+1)

hope this will help you