Question

Factorise 4x^2 plus 20xminus 96

Answer 1

Step-by-step explanation:

We notice that 4 is the common factor of all the terms.

Thus 4x^2+20x−96=4[x^2 +5x−24]

Now consider x^2+5x−24

=x^2+8x−3x−24

=x(x+8)−3(x+8)

=(x+8)(x−3)

Therefore 4x^2+20x−96=4(x+8)(x−3)