Question

find the factor of x2+2x-8​

Answer 1

Explanation:

x2 – 2x – 8

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like ax? + bx + c, we need to think of 2 numbers such that:

N1 · N2 = a.c=1. (-8) 8 and

Ni + N2 = b = -2

After trying out a few numbers we get 2

N1 = - 4. 2 - 4 and N2 8, and 2 + (- 4) = - 2

x? – – 4x + 2x – 8 - 2 x - 8 = x° 2(x - 4) + 2(x2 - 4) =

= (x + 2)(x – 4)

Hope it's helpful for you