Section 3.2 Dividing Polynomials (std Alg 2 3.0)

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Presentation transcript:

Section 3.2 Dividing Polynomials (std Alg 2 3.0) Objectives: To understand long division of polynomials To understand synthetic division of polynomials To understand the Remainder Theorem and the Factor Theorem

Review of Long Divison

Ex 1. Divide by

Ex 2. Divide by x – 4.

Ex 3. Divide by x – 4.

Ex 4. Use synthetic division to divide: by

Class Work Divide. 1. 2.

Remainder Theroem If the polynomial P(x) is divided by x – c, then the remainder is the value P(c).

Ex 5. Use synthetic division and the Remainder Theorem to evaluate P(c).

Factor Theroem c is a zero of P if and only if x – c is a factor of P(x).

Ex 6. Use the Factor Theorem to show that x – c is a factor of P(x) for the given value of c and find all other zeros of P(x).

Class Work 3. Use synthetic division and the Remainder Theorem to evaluate P(c). 4. Use the Factor Theorem to show that x – c is a factor of P(x) for the given value of c and find all other zeros of P(x).

Ex 7. Find a polynomial of the specified degree that has the given zeros. degree 4; zeros -3, 0, 1, and 5

HW #2 p270 3-54 mult of 3; 55-58all