Find the zeros of the polynomial function and state the multiplicity of each.
-$$f ( x ) = ( x + 3 ) ^ { 2 } ( x - 1 )$$
A) $- 3$, multiplicity $1 ; 1$, multiplicity 2
B) $- 3$, multiplicity $1 ; 1$, multiplicity 1
C) $- 3$, multiplicity $2 ; 1$, multiplicity 1
D) 3 , multiplicity $2 ; 1$, multiplicity 1

Question

Quizplus · Accepted Answer

The zeros of the polynomial are found by setting $f(x) = 0$. The given polynomial $f(x) = (x + 3)^2(x - 1)$ has zeros at $x = -3$ and $x = 1$. The factor $(x + 3)^2$ indicates that $-3$ 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