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

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Presentation transcript:

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

Last Nights Homework i √2 i i 30.6 – 22i i √10 i + 7√5 i + √ i 49.( i) i 66.-1/ Will graph

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Example 1: Find all roots, complex and real.

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.

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.

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.

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