Which binomial is a factor of x2 + 2x - 15?

D. (x - 3)

Step-by-step explanation:

Break the expression into groups

(x²-3x) + (5x-15)

Factor out x from x²-3x

x (x-3)

Factor out 5 from 5x-15

5 (x-3)

x (x-3) + 5 (x-3)

Factor out the common term (x-3)

(x-3) (x+5)

(x-3) and (x+5) are binomials of x²+2x-15

To factories, we firstly need two brackets, each containing an x.

(x) (x)

This creates the x 2 term.

Now we need to get the rest of the terms. To do this, we need two factors of - 15 which will add/subtract to give us + 2

The two factors that do this are

- 3 and 5, as - 3 + 5 = 2

Answer: (x - 3) (x + 5)

You can check by expanding it out.