Question

4 x square - 3 x - 7

Answer 1

4x^2 - 3x - 7
=>4x^2 - ( 7 - 4) x - 7
=>4x^2 - 7x + 4x - 7
=>x(4x - 7) + 1(4x - 7)
=>(4x - 7) (x + 1)

Answer 2

Answer:-

Step by step explanation

Question:-

Factorize

$4x {}^{2} - 3x - 7$

Solution :-

On comparing with ax^2 + bx + c we get

a = 4

b = - 3

c = - 7

We know that the product of 'a' and 'c' should be the difference or sum of the middle term.

$4x {}^{2} - 3x - 7$

-3x as a difference

written as 4x - 7x

$= > 4x {}^{2} + 4x - 7x - 7 \\ \\ = > 4x(x + 1) - 7(x + 1) \\ \\ = > (x + 1)( 4x - 7).$

Hope it helps!