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SFM Productions Presents:

Dive into polynomial and synthetic division with section 2.3 homework, explore factors, long and synthetic division methods, and learn the essential algebraic techniques. Get ready to master division algorithms and linear factors.

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SFM Productions Presents:

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  1. SFM Productions Presents: Another saga in your continuing Pre-Calculus experience! 2.3 Polynomial and Synthetic Division

  2. Homework for section 2.3 p156 #13-45 eoo, 55-73 odd

  3. And because 2 is a zero, (x-2) is a factor… Presto: Long Division

  4. (product of linear factors)

  5. Try:

  6. The Division Algorithm divisor remainder dividend quotient

  7. Try: Product of linear and quadratic factors Product of linear factors…

  8. Synthetic Division: only works if dividing by something that has the form of x- k You have to be dividing by a linear term. In Synthetic Division, all you use is the coefficients.

  9. Try: -3 1 0 -10 -2 4 -3 3 -3 9 1 -3 -1 1 1 1 • -3 -3 • -3 -1 • -3 1 • -3

  10. -3 1 0 -10 -2 4 -3 3 -3 9 1 -3 -1 1 1 Original equation (dividend) Depressed equation  (quotient) divisor remainder

  11. The Remainder Theorem An easy way to do find the f of something is to do the synthetic division in your head…

  12. Go! Do!

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