Question

find the zeros and the polynomial function and state the multiplicity of each f(x)=2x(x-7)(x+9)

Answer 1

To find the zeros, equate each term to 0

2x=0 --->x=?
(x-7)=0--->x=?
(x+9)=0--->x=?

Answer 2

This is because of the Zero-Product Property: For all real numbers a and b,

ab=0 if and only if a=0 or b=0.

A product of factors is zero if and only if one or more of the factors is zero.