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Objective The student will be able to: add and subtract polynomials.

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1. Add the following polynomials: (9y - 7x + 15a) + (-3y + 8x - 8a) Group your like terms. (9y - 3y)+(- 7x + 8x) + (15a - 8a) 6y + x + 7a

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Step 1: Copy the original problem. Step 2: Rewrite and Combine your like terms. 3a 2 + 3ab + 4ab - b 2 + 6b 2 OR You may underline the like terms like above, instead of rewriting/regrouping the like terms. 3a 2 + 7ab + 5b 2 2. Add the following polynomials: (3a 2 + 3ab - b 2 ) + (4ab + 6b 2 )

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Line up your like terms. 4x 2 - 2xy + 3y 2 +-3x 2 - xy + 2y 2 _________________________ x 2 - 3xy + 5y 2 3. Another way to add polynomials is by using column form. (4x 2 - 2xy + 3y 2 ) + (-3x 2 - xy + 2y 2 )

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REQUIRED: Rewrite subtraction as adding the opposite. You are distributing the subtraction/negative. (9y - 7x + 15a) + (+ 3y - 8x + 8a) Then, you may regroup like terms, underline like terms, or use columns to add the polynomials. Must show your work. I will be able to tell which method you are using. Answer is 12y - 15x + 23a 4. Subtract the following polynomials: (9y - 7x + 15a) - (-3y + 8x - 8a)

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Rewrite subtraction as adding the opposite. (7a - 10b) + (- 3a - 4b) 4a - 14b 5. Subtract the following polynomials: (7a - 10b) - (3a + 4b)

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Line up your like terms and add the opposite. 4x 2 - 2xy + 3y 2 + (+ 3x 2 + xy - 2y 2 ) -------------------------------------- 7x 2 - xy + y 2 6. Try this one by subtracting the following polynomials using column form: (4x 2 - 2xy + 3y 2 ) - (-3x 2 - xy + 2y 2 )

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Try this one. Find the sum or difference. (5a – 3b) + (2a + 6b) 1.3a – 9b 2.3a + 3b 3.7a + 3b 4.7a – 3b

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Find the sum or difference. (5a – 3b) – (2a + 6b) 1.3a – 9b 2.3a + 3b 3.7a + 3b 4.7a – 9b

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Try the following problems: In your Carnegie Textbook, do all problems for #6 on page 462. Remember to show your work and to always rewrite the subtraction problems to an addition problem by distributing the minus or negative. Note to teacher: Problems are on the following slides. Space is provided to be able to work out the problems so students can check their work/answers.

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Assignment Skills Practice WB Lesson 10.2 Problem Set #s 22 – 46 even

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Lesson – Adding and Subtracting Polynomials

Lesson – Adding and Subtracting Polynomials

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