Question

Factor the following trinomial:

6x^2 - 31x + 40

Answer 1

First multiply the 6 of the x^2 times the 40. 6*40 = 240

Answer 2

Find two factor of 240 that add to equal -31.

Answer 3

-15 and -16 work.

Answer 4

Then try factor by grouping. (6x^2 - 16x)(-15x + 40)

Answer 5

You take out the factors. 2x(3x - 8) and -5(3x - 8)

Answer 6

Then you group them together the right way. The answer is (2x - 5)(3x - 8).

Answer 7

Thank you so much ! :)

Answer 8

No problem ;)