Find the zeros of the polynomial function and state the multiplicity of each.
-$$f ( x ) = ( x + 2 ) ^ { 2 } ( x - 1 )$$
A) 2 , multiplicity $2 ; 1$, multiplicity 1
B) $- 2$, multiplicity $1 ; 1$, multiplicity 1
C) -2, multiplicity $1 ; 1$, multiplicity 2
D) $- 2$, multiplicity $2 ; 1$, multiplicity 1

Question

Quizplus · Accepted Answer

The zeros of the polynomial are found by setting $f(x) = 0$. The given polynomial has zeros at $x = -2$ and $x = 1$. The factor $(x + 2)^2$ indicates that $-2$ is a zero with multiplicity 2, and the factor $(x - 1)$ indicates that $1$ is a zero with multiplicity 1.

Find the Zeros of the Polynomial Function and State the Multiplicity