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1. 1. Objectives The student will be able to: 1. add and subtract polynomials. MA.912.A.4.2 p.572 Chapter 9.1
2. 2. 1. Add the following polynomials: (9y - 7x + 15a) + (-3y + 8x - 8a) Group your like terms. 9y - 3y - 7x + 8x + 15a - 8a 6y + x + 7a
3. 3. 2. Add the following polynomials: 2 2 2 (3a + 3ab - b ) + (4ab + 6b ) Combine your like terms. 2 2 3a + 3ab + 4ab - b + 6b 2 3a + 7ab + 5b 2 2
4. 4. Add the polynomials. Y Y Y Y 1. 2. 3. 4. X X 1 1 1 X2 + x2 + 3x + 7y + xy + 8 x2 + 4y + 2x + 3 3x + 7y + 8 x2 + 11xy + 8 Y Y Y 1 1 X 1 1 1 XY
5. 5. 3. Add the following polynomials using column form: (4x2 - 2xy + 3y2) + (-3x2 - xy + 2y2) Line up your like terms. 4x2 - 2xy + 3y2 + -3x2 - xy + 2y2 _________________________ x2 - 3xy + 5y2
6. 6. 4. Subtract the following polynomials: (9y - 7x + 15a) - (-3y + 8x - 8a) Rewrite subtraction as adding the opposite. (9y - 7x + 15a) + (+ 3y - 8x + 8a) Group the like terms. 9y + 3y - 7x - 8x + 15a + 8a 12y - 15x + 23a
7. 7. 5. Subtract the following polynomials: (7a - 10b) - (3a + 4b) Rewrite subtraction as adding the opposite. (7a - 10b) + (- 3a - 4b) Group the like terms. 7a - 3a - 10b - 4b 4a - 14b
8. 8. 6. Subtract the following polynomials using column form: (4x2 - 2xy + 3y2) - (-3x2 - xy + 2y2) Line up your like terms and add the opposite. 4x2 - 2xy + 3y2 + (+ 3x2 + xy - 2y2) -------------------------------------- 7x2 - xy + y2
9. 9. Find the sum or difference. (5a – 3b) + (2a + 6b) 1. 2. 3. 4. 3a – 9b 3a + 3b 7a + 3b 7a – 3b
10. 10. Find the sum or difference. (5a – 3b) – (2a + 6b) 1. 2. 3. 4. 3a – 9b 3a + 3b 7a + 3b 7a – 9b
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