Question

Select the two binomials that are factors of this trinomial below .

x^2-x – 12
A.x – 6
B.x + 6
C.x – 4
D.x + 3

Answer 1

x^2-x-12

factor

what 2 numbers multiply to get -12 and add to get -1?

-4 and 3

(x-4)(x+3)

answer is C and D

Answer 2

C. x – 4

D. x + 3

Explanation:

Given trinomial,

`x^2-x-12`

By middle term spitting,

`x^2-(4-3)x-12`

`x^2-4x+3x-12`

`x(x-4)+3(x-4)`

`(x+3)(x-4)`

⇒ Only binomials x + 3 and x - 4 are the factors of the given trinomial.

Options 'C' and 'D' are correct.