Question

Which of the binomials below is a factor of this trinomial?

6x2 - 6x - 72
O A. x-2
O B. x+ 2
O C. X-4
O D. X+4.

Answer 1

6 ( x-4) (x+3)

Explanation:

6x^2 - 6x - 72

factor out a 6

6 ( x^2 - x - 12)

What 2 number multiply to -12 and add to -1

-4*3 = -12

-4+3 = -1

6 ( x-4) (x+3)

Answer 2

C. x - 4

Explanation:

The best way to do this is to first take out GCF

6(x² - x - 12)

Then we factor

6(x - 4)(x + 3)

We can now see our answer.