Question

Find a third–degree polynomial function such that f(0) = –24 and whose zeros are –1, 2, and –3. Using complete sentences, explain how you found it.

Answer 1

\[f(x)=a(x+1)(x-2)(x+3)\] solve for a via
\[f(0)=24=a\times 1\times (-2)\times 3\]