Honors Precalculus February 21, 2018 Mr. Agnew

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Presentation transcript:

Honors Precalculus February 21, 2018 Mr. Agnew Dividing Polynomials Honors Precalculus February 21, 2018 Mr. Agnew

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

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…

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…

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