Find the zeros of the polynomial function and state the multiplicity of each.
-$$f ( x ) = 3 x ( x - 8 ) ( x + 11 )$$
A) -11 (multiplicity 1), 0 (multiplicity 1), 8 (multiplicity 1)
B) -11 (multiplicity 1), 8 (multiplicity 1 )
C) $- 11$ (multiplicity 1) 8 (multiplicity 2)
D) -11 (multiplicity 1 ), 11 (multiplicity 1 ), 8 (multiplicity 1 )

Question

Quizplus · Accepted Answer

The zeros of the polynomial are found by setting each factor equal to zero: $3x = 0$ gives $x = 0$, $x - 8 = 0$ gives $x = 8$, and $x + 11 = 0$ gives $x = -11$. Each zero appears only once, so each has a multiplicity of 1.

Find the Zeros of the Polynomial Function and State the Multiplicity