ADDING AND SUBTRACTING POLYNOMIAL FRACTIONS Slideshow 5 Mathematics

ADDING AND SUBTRACTING POLYNOMIAL FRACTIONS Slideshow 5, Mathematics Room 307, Mr. Sasaki

Objectives • Recall how to multiply a polynomial by a number • Learn how to divide a polynomial by a number • A review on adding and subtracting regular fractions • How to add and subtract polynomial fractions with a numerical denominator

Multiplying Polynomials by a number Calculate… = As you know, we multiply the number outside the brackets by each term inside. The minus also affects the terms within the brackets.

Dividing Polynomials by a number Calculate… = How can we do this? If we multiply by two, each term is doubled. So if we divide by two, we should half each term.

Dividing Polynomials by a number Example Calculate… Here, let’s divide each term by 6. = Example 2 Calculate… We can just divide each term by 7. = Try the short worksheet!

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Adding and Subtracting Fractions Let’s take a step back from algebra… Calculate the following… a. b. = = = = or 1 Try the worksheet!

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Polynomial Fractions Adding and subtracting polynomials is very similar. The same basic rules apply. Example Calculate . First we need to make the denominators the same. And then simplify and combine! = = =

Polynomial Fractions One more example! Try the final worksheet! Example Calculate . = = = Remember to keep your minus! =

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