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Adding and Subtracting Polynomials

Learn how to add and subtract polynomials, including grouping like terms and adding the opposite for subtraction.

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Adding and Subtracting Polynomials

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  1. Ch 7-5 Add/Subtract PolynomialsObjectivesThe student will be able to: 1. add and subtract polynomials.

  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. 2. Add the following polynomials:(3a2 + 3ab - b2) + (4ab + 6b2) Combine your like terms. 3a2 + 3ab + 4ab - b2 + 6b2 3a2 + 7ab + 5b2

  4. 3. Add the following polynomials(4x2 - 2xy + 3y2) + (-3x2 - xy + 2y2) x2 - 3xy + 5y2

  5. Add the polynomials.+ Y X X2 Y X XY Y X Y 1 1 Y Y 1 1 1 1 1 1 Y • x2 + 3x + 7y + xy + 8 • x2 + 4y + 2x + 3 • 3x + 7y + 8 • x2 + 11xy + 8

  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. 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. 6. Subtract the following polynomials(4x2 - 2xy + 3y2) - (-3x2 - xy + 2y2) Line up your like terms and add the opposite. 7x2 - xy + y2

  9. Find the sum or difference.(5a – 3b) + (2a + 6b) • 3a – 9b • 3a + 3b • 7a + 3b • 7a – 3b

  10. Find the sum or difference.(5a – 3b) – (2a + 6b) • 3a – 9b • 3a + 3b • 7a + 3b • 7a – 9b

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