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Section 5.4 Dividing Polynomials

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Review of Long Division What terms do we use to describe 672 and 21? Because the reminder is zero, we know that 21 is a factor of 672. How could you write 672 using the divisor and quotient?

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Writing the ratio of: Writing P(x) in terms of the divisor, quotient, and remainder

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Using long division to Divide polynomials

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Is a factor of

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Synthetic Division Synthetic division simplifies the long division by using only the zero of the divisor and the coefficients of the dividend Example 3:

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The polynomial expresses the volume, in cubic inches, of a shadow box. What are the dimensions of the box if one side is x + 5?

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Remainder Theorem If you divide a polynomial P(x) of degree n>1 by x – a, then the remainder is P(a) Example: What is the remainder when Is divided by x – 3? How many ways could you find the remainder? Which is most efficient?

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