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.

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 (–6, –2).

The graph of the function is negative on (, 0).

The graph of the function is positive on (–2, 4).

The graph of the function is negative on (4, ).

Answer 1

F(x) = -k(x+5)^3*(x-1)^2*(x-3)^7

for k=1, The only option that holds true is the last one