In: Math
1) Let P(x) = 3x(x − 1)3 (3x + 4)2 . List the zeros of P and their corresponding multiplicities.
2) Let f(x) = −18(x + 3)2 (x − 2)3 (x + 71)5 . Describe the end behavior of f by filling in the blank below.
As x → −∞, f(x) → .
As x → ∞, f(x) → .
3) The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 3 and roots of multiplicity 1 at x = 0 and x = −2. It goes through the point (−3, 108). Find a formula for P(x).