Answer:
[tex]f(x)=x(x-7)(x+8)^2[/tex]
Step-by-step explanation:
The zeros of the polynomial are all the values of [tex]x[/tex] for which the function [tex]f(x)=0[/tex]
Therefore,
[tex]x = 0[/tex]
[tex]x = -8 \implies x + 8 = 0[/tex] (twice)
[tex]x = 7 \implies x -7 = 0[/tex]
Write the polynomial as a product of its factors:
[tex]f(x)=x(x-7)(x+8)^2[/tex]
