Complex Numbers, Division of Polynomials & Roots

1

2

3

4

i

i

i

i

Simplifying Complex Numbers

Simplify the complex number

i25=___ i37= __

(3 + 2i) - (6 - 4i)

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

Dividing PolynomialsDivide using long division.

2 36 6 4

3

x x

x

Divide using synthetic division. 2 36 6 4

3

x x

x

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

Use Long division to divide.

Use Synthetic Division to divide

RootsUse the graph at the right to answer the following:

a) x-intercepts: ___________

b) Zeros: ________________ c) Factors: _______________

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)

Find all zeros.1. (use your calculator)