Find the zeros of the polynomial function.
-$f ( x ) = x ^ { 3 } + 10 x ^ { 2 } + 25 x$
A) $x = 0 , x = - 5$
B) $x = 0 , x = 5$
C) $x = 1 , x = - 5$
D) $x = 0 , x = 5 , x = - 5$

Question

Quizplus · Accepted Answer

First, factor out an $x$ to get $x(x^2 + 10x + 25)$. The quadratic can be factored further into $x(x + 5)^2$, giving zeros at $x = 0$ and $x = -5$.

Find the Zeros of the Polynomial Function f(x)=x3+10x2+25xf ( x ) = x ^ { 3 } + 10 x ^ { 2 } + 25 xf(x)=x3+10x2+25x

Find the Zeros of the Polynomial Function $f ( x ) = x ^ { 3 } + 10 x ^ { 2 } + 25 x$