Question

Factorise : (i) 12x2 - 7x + 1
(ii) 3x2 - x - 4​

Answer 1

Answer:

The result of the given expression is:

$1. (4x-1)(3x-1)\\2. (x+1)(3x-4)$

Step-by-step explanation:

__Part 1.)__

Given:

$12x^2-7x+1$

Breaking the expression into simplest form:

$12x^2-3x-4x+1$

Taking out the common factors:

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

__Part 2.)__

Given:

$3x^2-x-4$

Breaking the expression into simplest form:

$3x^2+3x-4x-4$

Taking out the common factors:

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