Section 4.8 Long Division and Synthetic Division

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Presentation transcript:

Section 4.8 Long Division and Synthetic Division

In this section, you will learn how to divide a “polynomial” by a “binomial” Long Division Straight Forward Long Synthetic Division Fast & Easy 2 Small exceptions Division Statement

I) Review: Long Division Ex: Divide the Following Using Long Division Dividend Dividend Divisor: Divisor Quotient: Quotient: Remainder: Remainder: Division Statement:

II) Long Division with Polynomials Division Statement:

Practice: Divide Using Long Division & Write the Division Statement

Website For Practicing Long Division: Press Button to Open Hyperlink to Long Division Website: http://www.waldomaths.com/AlgDiv1NL.jsp

III) Synthetic Division: Synthetic Division is an alternative to Long Division: Used for dividing polynomials Take the coefficients of your dividend: Place the divisor in front:

Practice: Take the coefficients of your dividend: Place the divisor in front:

Two Reminders with Synthetic Division i)If the Dividend is missing a term (skip in the exponents), replace missing term with coefficient of zero 2. If Divisor has a coefficient for the x-term, solve for “x” from the divisor. Do synthetic division. At the end, divide the quotient by the coefficient in the divisor.

Practice: Take the coefficients of your dividend: Place the divisor in front: For the Quotient, divide all the coefficients by 2