Factor the given polynomial completely. If the polynomial is prime, say so. y³- 8y² - 9y + 72 A) y(y + 3)(y - 8) B) (y - 3)(y + 3)(y - 8) C) The polynomial is prime. D) (y - 3)²(y - 8)

Question

Quizplus · Accepted Answer

The given polynomial can be factored using the grouping method as follows:
yS1U1P13S1S1P0 - 8yS1U1P12S1S1P0 - 9y + 72
= yS1U1P12(y + 3) - 8(y + 3)(y - 3)
= (y + 3)(yS1U1P12 - 8y + 24)
= (y + 3)(yS1U1P12 - 6y - 4y + 24)
= (y + 3)(y - 3)(y - 8)
Therefore, the correct option is B.

Factor the Given Polynomial Completely