8-1 Skills Practice Adding and Subtracting Polynomials Find each sum or difference. 1. (2x + 3y) + (4x + 9y) 2. (6s + 5t) + (4t + 8s) (5a + 9b) (2a + 4b) (11m 7n) (2m + 6n) 3. 4. – – – 5. (– + (2m + ) 6. (– 3x) (2+ 5x) m) – 7. (– + 5) (2d + 5) 8. (2– 5h) + (7h 3) d – – 9. (5f + 2) + (–2f + 3) 10. (6 + 2k + 9) + (4– 5k) g – Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a or monomial, binomial, trinomial. 11. 5mt + 12. 4by + 2b by – 13. 14. –32 15. 5– 3 16. 2+ 8c + 9 3 – Write each polynomial in standard form. Identify the leading coefficient. 17. 3x + 1 + 2 18. 5x 6 + 3 – 19. 9 + 2 + + 20. + 3 + 4x x –3 – 21. + 3+ 27 22. 25 + x x – – 23. 3 + 4 + 5 24. + 64 + 7 x x – –
8-1 Skills Practice Adding and Subtracting Polynomials Find each sum or difference. 1. (2x + 3y) + (4x + 9y) 2. (6s + 5t) + (4t + 8s) 3. (5a + 9b) – (2a + 4b) 4. (11m – 7n) – (2m + 6n) 5. (– m) + (2m + ) 6. (– 3x) – (2+ 5x) 7. (– d + 5) – (2d + 5) 8. (2– 5h) + (7h – 3) 9. (5f + g – 2) + (–2f + 3) 10. (6 + 2k + 9) + (4– 5k) Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial, or trinomial. 11. 5mt + 12. 4by + 2b – by 13. –32 14. 15. 5– 3 16. 2+ 8c + 9 – 3 Write each polynomial in standard form. Identify the leading coefficient. 17. 3x + 1 + 2 18. 5x – 6 + 3 19. 9 + 2 + + x 20. –3 + 3 – + 4x 21. + 3+ 27 – x 22. 25 – + x 23. x – 3 + 4 + 5 24. + 64 – x + 7
8.1-Skills-Adding-and-Subtracting-Polynomials.docx