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Complex Numbers, Division of Polynomials & Roots.

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Presentation on theme: "Complex Numbers, Division of Polynomials & Roots."— Presentation transcript:

1 Complex Numbers, Division of Polynomials & Roots

2 Simplifying Complex Numbers

3 Simplify the complex number i 25 =___ i 37 = __ (3 + 2i) - (6 - 4i)

4 (4 +3i)(2 - 2i)

5 Dividing Polynomials Divide using long division. Divide using synthetic division.

6 Use Long division to divide. Use synthetic division to divide.

7 Use Long division to divide.

8 Use Synthetic Division to divide

9 Roots Use the graph at the right to answer the following: a)x-intercepts: ___________ b) Zeros: ________________ c) Factors: _______________

10 Find a polynomial equation for a polynomial with the given zeros and multiplicity. 1.0, -2(double root), 3 (multiplicity of 3) 2. 2i, -2i, 1(double root)

11 Find all zeros. 1. (use your calculator)

12

13

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