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Section 4.8 Long Division and Synthetic Division

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.

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Section 4.8 Long Division and Synthetic Division

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  1. Section 4.8 Long Division and Synthetic Division

  2. 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

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

  4. II) Long Division with Polynomials Division Statement:

  5. Practice: Divide Using Long Division & Write the Division Statement Division Statement:

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

  7. 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:

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

  9. 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.

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

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