Question

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)?

Answer 1

The multiplicity of a factor of a polynomial is the number of times that the factor appears in the polynomial. Since the graph of the polynomial function p(x) has 3 roots, and (2x+3) is a factor of p(x), the multiplicity of (2x+3) could be 1, 2, or 3. The multiplicity of a root is the number of times it appears as a root.

Answer 2

Answer: 1

Explanation:

1 is the correct choice!

if this is for the repeating roots quick check the answers are

1) C: multiplicties 1,2,5

2) D: the multiplicty is even it touches at (3,0) and then turns around.

3) 1

4) A: f(x) = (x-4) (x+2)3

5) 2

Hope this helps