Question

Deirdre is factoring the polynomial x2 + 2x – 24. Which combination can she use to replace the middle term, 2x?

Answer 1

x² + 6x - 4x - 24

x(x + 6) - 4(x + 6)

(x - 4) (x + 6)

Answer 2

Answer:

The combination of 2x is: 6x,-4x.

Step-by-step explanation:

The polynomial is given by:

$=x^2+2x-24$

on using splitting the middle term we have:

$=x^2+6x-4x-24\\\\=x(x+6)-4(x+6)\\\\=(x-4)(x+6)$

Hence we use the combination 6x,-4x to replace the middle term 2x.