Question

Factor the trinomial below.

x2 + 3x - 18
A. (x + 6)(x-3)
B. (x+9)(x-2)
C. (X-9)(x+2)
D. (x-6)(x+3)

Answer 1

A

Explanation:

Given

x² + 3x - 18

Consider the factors of the constant term (- 18) which sum to give the coefficient of the x- term (+ 3)

The factors are + 6 and - 3, since

6 × - 3 = - 18 and 6 - 3 = + 3, thus

x² + 3x - 18 = (x + 6)(x - 3) → A

Answer 2

( x+6) ( x-3)

Explanation:

x^2 + 3x - 18

What 2 numbers multiply to -18 and add to 3

6*-3 = -18

6+-3 = 3

( x+6) ( x-3)