Writing Polynomial Functions from Complex Roots Answers

The graph of a polynomial function approaches – as x approaches –, and approaches + as x approaches + . Which could be the degree and leading coefficient of this function?

The zeroes of f(x) = x3 + 3x2 + 2x are 0, 1, 21, 2✔ –2, –1, 0–1, –21, 3, 2.

Factor x3 + 3x2 + 2x completely.