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5.3 Division of Polynomials

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Dividing a Polynomial by a monomial. Divide each term of the polynomial by the monomial.

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Dividing a Polynomial by a monomial. Page 307 9 14 19

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Dividing a polynomial by a binomial Long Division vs. Synthetic Division

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Long Division vs. Synthetic Division A few examples. Page 307 25 36 45

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When to use long division Page 307/ 28, 33, 46 Leading coefficient is not 1 When the degree of the divisor is higher than 1.

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What to watch for….. Synthetic division sign errors Not having the polynomials in descending order. Forgetting all powers must be represented

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The Remainder Theorem Used to find if a polynomial is divisible by a binomial. To find the remainder. Is a binomial a factor of a polynomial

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The Remainder Theorem Evaluate the polynomial that you are dividing into with the opposite of the constant in the divisor. If p(x) is divided by x – a, then the remainder is equal to p(a).

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The Remainder Theorem If the remainder is zero…… The binomial is a factor of the polynomial

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The Remainder Theorem Page 308 / 65, 66, 67

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