Find the zeros of the polynomial function and state the multiplicity of each.
-$$f ( x ) = 2 x ( x - 7 ) ( x + 9 )$$
A) $- 9$, multiplicity 1; 7 , multiplicity 1
B) $- 9$, multiplicity $1 ; 7$, multiplicity 2
C) $- 9$, multiplicity $1 ; 0$, multiplicity $1 ; 7$, multiplicity 1
D) $- 9$, multiplicity $1 ; 9$, multiplicity $1 ; 7$, multiplicity 1

Question

Quizplus · Accepted Answer

The zeros of the polynomial are found by setting $f(x) = 0$. This gives us $x = 0$ from $2x$, $x = 7$ from $(x - 7)$, and $x = -9$ from $(x + 9)$. Each factor is to the first power, indicating a multiplicity of 1 for each zero.

Find the Zeros of the Polynomial Function and State the Multiplicity