Factor by grouping. p3 - p2 - 9p + 9
A)p2 - 9(p - 1)
B)(p2 - 9)2(p - 1)
C)(p2 - 9)(p - 1)
D)(p2 + 9)(p + 1)
E)(p2 - 9)(p - 1)2

Question

Quizplus · Accepted Answer

We can group the first two terms together and the last two terms together as follows: (p3 - p2) - (9p - 9). Factor out p2 from the first group and 9 from the second group, we get p2(p - 1) - 9(p - 1). Now factor out (p - 1) from this expression, we get (p2 - 9)(p - 1). Therefore, the answer is (C).

Factor by Grouping