Write down the function g(x) = x³ 5x² + 3x + 9 and answer the following questions. a) Name the degree of f(x) and state the infinite or end behavior using the notation As x -> _____, f(x) -> ______ and As x -> _____, f(x) -> ______

b) Use the Rational Zeros Theorem to state all possible rational zeros.

c) Find all rational zeros using these possible zeros.

d) State all complex zeros of the function, the multiplicity, and whether the graph crosses and touches the axis.

e) Use the Linear Factorization Theorem to rewrite the polynomial as a product of linear factors.