1. Bellwork Perform the operation and write the result in standard from ( a + bi)

2. Last Nights Homework 15.11-i 17.7 - 3√2 i 20.17 + 18i 30.6 – 22i 31.12 + 30i 34.21-3√10 i + 7√5 i + √50 47.-6i 49.(16 + 20i)41 59.-1 + 6i 66.-1/8 11-14. Will graph

3. 2.5 Real and Complex Zeros of Polynomial Functions -How to find all zeros of polynomial functions, including complex zeros?

4. Every nth degree polynomial has precisely n zeros. Example 1: Find all the real and complex roots.

5. Example 1: Find all roots, complex and real.

6. Example 2: Find all zeros, real and complex. Start by finding zeroes in the calculator, use synthetic division, and then quadratic formula for the rest.

7. Example 2: Find all zeros, real and complex. Start by finding zeroes in the calculator, use synthetic division, and then quadratic formula for the rest.

8. Complex zeros occur in conjugate pairs. Let f(x) be a polynomial function that has real coefficients. If a + bi, where b is not 0, is a zero of the function, the conjugate a – bi is also a zero of the function. Example 3: Find a fourth degree polynomial function, with real coefficients, that has -1, -1 and 3i as zeros.

9. Tonight’s Homework Pg 187 #17, 19, 29, 38(just find all zeroes), 41, 43, 45, 65