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Honors Precalculus February 10, 2017 Mrs. Agnew

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1 Honors Precalculus February 10, 2017 Mrs. Agnew
Dividing Polynomials Honors Precalculus February 10, 2017 Mrs. Agnew

2 Essential Question Essential Vocabulary How do you divide polynomials?
Synthetic Division Remainder Theorem Factor Theorem

3 Dividing Polynomials Long Division of Polynomials:
P(x) = D(x) · Q(x) + R(x) Using Synthetic Division: Number in “box” is what makes divisor equal to zero Insert 0 for any missing terms Reduces polynomial by one degree Why would we ever use long division? Examples…

4 Remainder & Factor Theorems
The Remainder Theorem Given polynomial P(x), the value of P(c) is remainder from synthetic division using c. If you get a remainder of zero when using c in the “box,” what can you say about c? If c is a zero of function, then x – c is a factor of polynomial. Page 210 #88, 90, 94 & Examples…

5 Homework: Page 194 #45, 47, 103, 105, 107 A34 #7, 9, 11, 19, 23, 27 Page 209 – 211 #15 – 19 (ODD), 87, 89, 93, 94, 100, 101

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