Question

What is the Multiplicity of the Zero x=−3 in the function P(x)= (x−3)
2(x+3)?

Answer 1

The multiplicity of the zero x = -3 in the function P(x) = (x - 3)^2(x + 3) is 2.

Step-by-step explanation:

The multiplicity of the zero x = -3 in the function P(x) = (x - 3)^2(x + 3) is 2.

The multiplicity of a zero or root of a function refers to the number of times that zero occurs in the function.

In this case, the zero x = -3 occurs twice, once as a factor (x + 3) and once as a factor (x - 3) squared.