Select from the following which is the polynomial function that has the given zeros. $- 4 , - 2,0,2,4$
A) $f ( x ) = x ^ { 5 } - 20 x ^ { 3 } + 64$
B) $f ( x ) = x ^ { 5 } + 20 x ^ { 3 } + 64 x$
C) $f ( x ) = x ^ { 5 } - 20 x ^ { 3 } + 64 x$
D) $f ( x ) = - x ^ { 5 } - 20 x ^ { 3 } + 64 x$
E) $f ( x ) = x ^ { 5 } - 20 x ^ { 3 } - 64 x$

Question

Select from the following which is the polynomial function that has the given zeros.   $- 4 , - 2,0,2,4$  
A) $f ( x ) = x ^ { 5 } - 20 x ^ { 3 } + 64$
B) $f ( x ) = x ^ { 5 } + 20 x ^ { 3 } + 64 x$
C) $f ( x ) = x ^ { 5 } - 20 x ^ { 3 } + 64 x$
D) $f ( x ) = - x ^ { 5 } - 20 x ^ { 3 } + 64 x$
E) $f ( x ) = x ^ { 5 } - 20 x ^ { 3 } - 64 x$

Quizplus · Accepted Answer

The polynomial function with zeros $-4, -2, 0, 2, 4$ is $f(x) = (x + 4)(x + 2)x(x - 2)(x - 4)$, which expands to $x^5 - 20x^3 + 64x$.

Select from the Following Which Is the Polynomial Function That −4,−2,0,2,4- 4 , - 2,0,2,4−4,−2,0,2,4

Select from the Following Which Is the Polynomial Function That $- 4 , - 2,0,2,4$