Find the zeros of the function.
-$$f ( x ) = 3 x ^ { 3 } - 11 x ^ { 2 } - 4 x$$
A) $- \frac { 1 } { 3 }$ and 4
B) $0 , - \frac { 1 } { 3 }$, and $- 4$
C) $0 , - \frac { 1 } { 3 }$, and 4
D) $- \frac { 1 } { 3 }$ and $- 4$

Question

Quizplus · Accepted Answer

First, factor out an $x$ from the given function: $f(x) = x(3x^2 - 11x - 4)$. Then, find the roots of the quadratic equation $3x^2 - 11x - 4 = 0$. Factoring or using the quadratic formula yields $x = 4$ and $x = -\frac{1}{3}$. Therefore, the zeros of the function are $0$, $4$, and $-\frac{1}{3}$.

Find the Zeros of the Function f(x)=3x3−11x2−4xf ( x ) = 3 x ^ { 3 } - 11 x ^ { 2 } - 4 xf(x)=3x3−11x2−4x

Find the Zeros of the Function $f ( x ) = 3 x ^ { 3 } - 11 x ^ { 2 } - 4 x$