Adding and Subtracting Polynomials

Name ________________________________________ Date __________________ Class __________________ LESSON

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Adding and Subtracting Polynomials Practice and Problem Solving: A/B

Add or subtract. 1. (10g2 + 3g − 10) + (2g2 + g + 9)

2. (4x3 − x2 + 2x) + (3x3 + x2 + 4x)

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3. (11b2 + 3b − 1) − (2b2 + 2b + 8)

4. (c3 − c2 + 2c) − (−3c3 − c2 − 4c)

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5. (ab2 + 13b − 4a) + (3ab2 + a + 7b)

6. (9x3 − 2x2 + 3x) + (x3 − x2 − 3x)

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7. (−r2 + 8pr − p) − (−12r2 − 2pr + 8p)

8. (mn − n2 + 2mn3) − (3mn3 + n2 + 4mn)

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9. (3y2 − y + 3) + (2y2 + 2y + 9)

10. (4z3 + 3z2 + 8) + (2z3 + z2 − 3)

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11. (6s3 + 9s + 10) − (3s3 + 4s − 10)

12. (15a4 + 6a2 + a) − (6a4 − 2a2 + a)

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13. (−7a2b3 + 3a3b − 9ab) − (4a2b3 − 5a3b + ab) ________________________________________

14. (2p4q2 + 5p3q − 2pq) + (8p4q2 − 3p3q − pq) ________________________________________

Solve. 15. Darnell and Stephanie have competing refreshment stand businesses. Darnell’s profit can be modeled with the polynomial c2 + 8c − 100, where c is the number of items sold. Stephanie’s profit can be modeled with the polynomial 2c2 − 7c − 200. Write a polynomial that represents the difference between Stephanie’s profit and Darnell’s profit. _________________________________________________________________________________________

16. Write a polynomial to show how much Darnell and Stephanie can expect to earn if they decided to combine their businesses. _________________________________________________________________________________________

17. A rectangular picture frame has the dimensions shown in the figure. Write a polynomial that represents the perimeter of the frame. _________________________________________________________________ Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.

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