A polynomial function has a root of –5 with multiplicity 3, a root of 1 with multiplicity 2, and a root of 3 with multiplicity 7. If the function has a negative leading coefficient and is of even degree, which statement about the graph is true?

The graph of the function is positive on (-infinity, –5).
The graph of the function is negative on (–5, 3).
The graph of the function is positive on (-infinity. 1).
The graph of the function is negative on (3, infinity).

Question

A polynomial function has a root of –5 with multiplicity 3, a root of 1 with multiplicity 2, and a root of 3 with multiplicity 7. If the function has a negative leading coefficient and is of even degree, which statement about the graph is true?

The graph of the function is positive on (-infinity, –5).
The graph of the function is negative on (–5, 3).
The graph of the function is positive on (-infinity. 1).
The graph of the function is negative on (3, infinity).