Question

. Factorize:

(i)12x
2-7x+1
(ii)2x
2+7x+3

(iii)6x2+5x-6
(iv)3x2-x-4​

Answer 1

Explanation:

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Answer 2

Question:-

• Factorise the following polynomials.

Solution:-

Question 1

$\sf 12 {x}^{2} - 7x + 1$

$\sf = 12 {x}^{2} - 4x - 3x + 1$

$\sf = 4x(3x - 1) - 1(3x - 1)$

$\sf = (4x - 1)(3x - 1)$

Question 2

$\sf 2 {x}^{2} + 7x + 3$

$\sf = 2 {x}^{2} + 6x + x + 3$

$\sf =2x(x + 3) + 1(x + 3)$

$\sf = (2x + 1)(x + 3)$

Question 3

$\sf 6 {x}^{2} + 5x - 6$

$\sf = 6 {x}^{2} - 4x + 9x - 6$

$\sf = 2x(3x - 2) + 3(3x - 2)$

$\sf = (2x + 3)(3x - 2)$

Question 4

$\sf 3 {x}^{2} - x - 4$

$\sf = 3 {x}^{2} + 3x - 4x - 4$

$\sf = 3x(x + 1) - 4(x + 1)$

$\sf = (3x - 4)(x + 1)$