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) ? (1 point) Responses 1 1 2 2 1.5 1.5 −1.5

Answer 1

The multiplicity of a factor in a polynomial function must be a non-negative integer. This means the possible values for the multiplicity of the factor (2x + 3) can be 1, 2, 3, etc.

From the options given, the valid multiplicities are:

• 1
• 2

The values 1.5 and -1.5 are not valid multiplicities for a polynomial's factor.

So, the possible multiplicities for the factor (2x + 3) could be 1 or 2.