5.3 Division of Polynomials

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Concepts 1, 2, 3 5.3 Division of Polynomials

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5.3 Division of Polynomials. Concepts 1, 2, 3. 5.3.1 Division by a Monomial. Example:. Divide the polynomials. On your own…. What if you are dividing by a polynomial?. The last method we did won’t work. There are three ways to do this: LONG DIVISION SYNTHETIC DIVISION - PowerPoint PPT Presentation

Transcript of 5.3 Division of Polynomials

Page 1: 5.3 Division of Polynomials

Concepts 1, 2, 3

5.3 Division of Polynomials

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5.3.1 Division by a MonomialExample:

3

330

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Divide the polynomials.

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On your own…

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What if you are dividing by a polynomial?The last method we did won’t work.

There are three ways to do this:LONG DIVISIONSYNTHETIC DIVISIONFACTORING (we will cover next week)

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5.3.2 Long DivisionNumber example

How do we divide 867 by four using long division?

Similar when using polynomials?

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Divide the polynomial using long division.

CHECK:(divisor)(quotient)+(remainder) =

what was divided

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Divide the polynomial using long division.

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Divide the polynomial using long division.

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Divide the polynomial using long division.

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Divide the polynomial using long division.

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Divide the polynomial using long division.

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5.3.3 Synthetic DivisionIt is a shortcut way of doing long division.

Only works when divided by something in the form x – c

Set-up:

Degree is always one less than the original

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Divide the polynomial using synthetic division.

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Divide the polynomial using synthetic division.

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Divide the polynomial using synthetic division.

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Divide the polynomial using synthetic division.

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HOMEWORK FOR 5.3

Pg. 338 – 340 #10, 24, 32, 37, 44, 57