Factor completely.
-$25 p ^ { 4 } - 30 p ^ { 3 } + 9 p ^ { 2 }$
A) $p ^ { 2 } ( 5 p - 3 ) ( 5 p + 3 )$
B) $p ^ { 2 } ( 25 p + 1 ) ( p + 9 )$
C) $p ^ { 2 } ( 5 p + 3 ) ^ { 2 }$
D) $p ^ { 2 } ( 5 p - 3 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

First, factor out the greatest common factor, which is $p^2$, resulting in $p^2(25p^2 - 30p + 9)$. Then, notice that $25p^2 - 30p + 9$ is a perfect square trinomial, factoring into $(5p - 3)^2$.

Factor Completely 25p4−30p3+9p225 p ^ { 4 } - 30 p ^ { 3 } + 9 p ^ { 2 }25p4−30p3+9p2

Factor Completely $25 p ^ { 4 } - 30 p ^ { 3 } + 9 p ^ { 2 }$