Find the zeros of the function.
-$$f ( x ) = 4 x ^ { 3 } + 36 x ^ { 2 } + 80 x$$
A) 0,5 , and 4
B) 5 and 4
C) $- 5$ and $- 4$
D) $0 , - 5$, and $- 4$

Name: Find the zeros of the function. -\[f ( x ) = 4 x ^ { 3 } + 36 x ^ { 2 } + 80 x\] A) 0,5 , and 4 B) 5 and 4 C) $- 5$ and $- 4$ D) $0 , - 5$, and $- 4$
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Quizplus · Accepted Answer

First, factor out the greatest common factor, which is $4x$, giving $4x(x^2 + 9x + 20)$. Then, factor the quadratic to get $4x(x + 5)(x + 4)$. The zeros are $x = 0$, $x = -5$, and $x = -4$.

Find the Zeros of the Function f(x)=4x3+36x2+80xf ( x ) = 4 x ^ { 3 } + 36 x ^ { 2 } + 80 xf(x)=4x3+36x2+80x

Find the Zeros of the Function $f ( x ) = 4 x ^ { 3 } + 36 x ^ { 2 } + 80 x$