Polynomial P(x) Linear Factors Solutions of P(x)=0 Zeros of P(x) P(x) = 0.

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Presentation transcript:

Polynomial P(x) Linear Factors Solutions of P(x)=0 Zeros of P(x) P(x) = 0

Polynomial P(x) Linear Factors Solutions of P(x)=0 Zeros of P(x)

Determine a Polynomial Function of lowest degree with integral coefficients that has the following zeros

Linear Factors Solutions of P(x)=0 Zeros of P(x)

Linear Factors Solutions of P(x)=0 Zeros of P(x)

Linear Factors Solutions of P(x)=0 Zeros of P(x)

Linear Factors Solutions of P(x)=0 Zeros of P(x)

Integer Coefficients?

Integer Coefficients?

Classwork Solve the equation below for x

Classwork Solve the equation below for x

Polynomial P(x)

Linear Factors Zeros of P(x)

Linear Factors Zeros of P(x)

Linear Factors Zeros of P(x)

Linear Factors Zeros of P(x)

Linear Factors Zeros of P(x)

Linear Factors Zeros of P(x)

Linear Factors Zeros of P(x)

Linear Factors Zeros of P(x)

Polynomial P(x)

2x22x2 –5x2 x –1

2x22x2 –5x2 x –1 Polynomial P(x)

You choose which method you want to use.

Solutions of P(x)=0 Zeros of P(x)

Linear Factors

Polynomial P(x)

Solutions of P(x)=0 Zeros of P(x)

Linear Factors

Polynomial P(x)

x–23i3i x –3i

x–23i3i x –3i Polynomial P(x)

Solutions of P(x)=0 Zeros of P(x) Linear Factors

0

0

0

0

Polynomial P(x)

Determine a polynomial function of lowest degree with rational coefficients that has the given zeros