Find all the real zeros of the polynomial function. $f ( x ) = x ^ { 5 } - 16 x ^ { 3 } + 64 x$
A) $0 , \pm \sqrt { 8 }$
B) $0 , \sqrt { 8 }$
C) $0,8$
D) $0 , - 8$
E) $0 , - \sqrt { 8 }$

Question

Find all the real zeros of the polynomial function.​ $f ( x ) = x ^ { 5 } - 16 x ^ { 3 } + 64 x$ ​
A) $0 , \pm \sqrt { 8 }$
B) $0 , \sqrt { 8 }$
C) $0,8$
D) $0 , - 8$
E) $0 , - \sqrt { 8 }$

Quizplus · Accepted Answer

The polynomial can be factored as $x(x^4 - 16x^2 + 64)$, which simplifies further to $x(x^2 - 8)^2$. The real zeros are $x = 0$ and $x = \pm \sqrt{8}$.

Find All the Real Zeros of the Polynomial Function f(x)=x5−16x3+64xf ( x ) = x ^ { 5 } - 16 x ^ { 3 } + 64 xf(x)=x5−16x3+64x

Find All the Real Zeros of the Polynomial Function $f ( x ) = x ^ { 5 } - 16 x ^ { 3 } + 64 x$