Consider the graph of the polynomial function p(x). Given that (2x+3) is a factor of p(x), which of the following could be the multiplicity of (2x+3)?

Question

(1 point)
Responses

2
2

−1.5
negative 1.5

1.5
1.5

1
1

Answer 1

The multiplicity of a factor in a polynomial refers to how many times that factor appears in the polynomial. A factor must have a non-negative integer multiplicity, which means it can be 1, 2, 3, etc., but it cannot be negative or a fraction.

Given that \( (2x + 3) \) is a factor of \( p(x) \), the only possible multiplicity from the options provided is:

1

So, the answer is 1.