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

Question

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

Quizplus · Accepted Answer

Given zeros are 0 and 5, which means the polynomial must be of the form $f(x) = a(x)(x-5)$ for some constant $a$. Option A, $f(x) = x^2 - 5x$, correctly expands to $x(x-5)$, matching the required form.

Select from the Following Which Is the Polynomial Function That 0,50,50,5

Select from the Following Which Is the Polynomial Function That $0,5$