Answer Happy

Thanks for the help
Problem #1. Section 3.3 (6 points): Given the function: f(x) = −5x³ + 13x² + 6x a. Use algebra to find the zeros (factor the polynomial). (5 points) b. Find the vertical intercept of the function - show work (1 point) Problem #2. Section 3.4 (9 points): Given the function: p(n) = −14(n – 2)3 (n+7)4 (n -4) a. Identify the degree of the function (1 point) b. Describe end behavior (As n approaches positive and negative infinity, what happens to p(n)) (2 points) c. Identify the zeros of the function. (3 points) d. State the multiplicity at each zero and describe whether the graph crosses or touches the n-axis at each zero. (3 points) Problem #3. Section 3.5 (5 points): Write the equation of the polynomial, P(x) with the following characteristics (you can leave in factored form) polynomial has degree 3 • a root of multiplicity 2 at x=2 • a root of multiplicity 1 at x = -1 • y-intercept of (0, -8) ●