The function f(x)=x3+3x2−13x−15 has a zero at x=3.

1. What factor must be included in the factored form for f based on this information? (Hint: Your answer will be something like x−1 or x+1.)

2. Use synthetic division to factor out the expression you wrote in part (a), then use the result to write the fully factored form of f below. Your final answer should not have any factors with x2 in them.

   f(x)=

3. Write the function zeros below separated by commas.

   x=