Factor the trinomial. u² - 8u + 12 A) u(u - 8) + 12 B) u(u + 4) C) (u + 2)(u - 6) D) (u - 2)(u - 6) E) (u + 2)(u + 6)

Question

Quizplus · Accepted Answer

First, factor out the greatest common factor, which in this case is (u - 2):
uS1U1P12S1S1P0 - 8u + 12 = (u - 2)(uS1U1P12S1S1 + 6u - 6)
Now, the remaining trinomial can be factored using the AC method:
(uS1U1P12S1S1 + 6u - 6) = (u + 2)(u - 3)
Putting both factors together, we get:
(u - 2)(u + 2)(u - 3)
However, the original question asks for a factorization in which all parentheses have no numerical coefficient other than 1. So, we can rearrange the factors as:
(u + 2)(u - 2)(u - 3)
which is equivalent to choice D.

Factor the Trinomial. U2 - 8u + 12

Factor the Trinomial. U² - 8u + 12