1. Algebra 2 cc Section 3.3 Relate zeros (roots), factors, and intercepts of polynomial functions Consider the quadratic function f(x) = x 2 – 2x - 8 Zeros (roots) x - 4 = 0 x + 2 = 0 x = 4 x = -2 Graph The x intercepts are -2 and 4. Factors (x-4)(x+2)

2. If f(x) is a polynomial function, then the following statements are equivalent: 1.The zeros (roots) are “a” and “b”. 2.The x intercepts are “a” and “b”. 3. Its factors are (x-a) and (x-b). Find the zeros, x intercepts and factors of: f(x) = x 3 – 3x 2 + 4x -12

3. The factors of a polynomial function are (x-5i), (x+5i), (x-2), and (x+3). Find its zeros and x intercepts. The zeros of a polynomial function are 4, -2, +3i. Find its x intercepts and factors.

4. Find the zeros and factors of the polynomial function.