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Mastering Long and Synthetic Division for Polynomials

Learn long division and synthetic division techniques for dividing polynomials quickly and easily. Practice with examples and get proficient in polynomial division. Visit the website for more practice.

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Mastering Long and Synthetic Division for Polynomials

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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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