Factor the perfect square trinomial completely.
-$x ^ { 3 } + 20 x ^ { 2 } + 100 x$
A) $x ( x + 10 ) ^ { 2 }$
B) prime
C) $x ( x - 10 ) ^ { 2 }$
D) $x ( x + 10 ) ( x - 10 )$

Question

Quizplus · Accepted Answer

The given trinomial can be factored by first factoring out the greatest common factor (GCF), which is $x$, resulting in $x(x^2 + 20x + 100)$. The quadratic expression inside the parentheses is a perfect square trinomial, which factors to $(x + 10)^2$. Therefore, the complete factorization is $x(x + 10)^2$.

Factor the Perfect Square Trinomial Completely x3+20x2+100xx ^ { 3 } + 20 x ^ { 2 } + 100 xx3+20x2+100x

Factor the Perfect Square Trinomial Completely $x ^ { 3 } + 20 x ^ { 2 } + 100 x$