Term
| Express this as a polynomial without parentheses: 8(2r² - 3r - 7) |
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Definition
| 16r² - 24r - 56. EXPLANATION: Simply multiply each item in the parentheses by 8. |
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Term
| Express this as a polynomial without parentheses: 10(7r² + 6r + 3) |
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Definition
| 70r² + 60r + 30. EXPLANATION: Simply multiply each item in the parentheses by 10. |
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Term
| Express this as a polynomial without parentheses: 8(7s² + 8s + 4) |
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Definition
| 56s² + 64s + 32. EXPLANATION: Simply multiply each item in the parentheses by 8. |
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Term
| Express this as a polynomial without parentheses: 2(8t² - 10t + 5) |
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Definition
| 16t² - 20t + 10. EXPLANATION: Simply multiply each item in the parentheses by 2. |
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Term
| Express this as a polynomial without parentheses: 7(6t² + 3t + 4) |
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Definition
| 42t² + 21t + 28. EXPLANATION: Simply multiply each item in the parentheses by 7. |
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Term
| Express this as a polynomial without parentheses: 2(3r² - 3r + 7) |
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Definition
| 6r² - 6r + 14. EXPLANATION: Simply multiply each item in the parentheses by 2. |
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Term
| Apply the distributive law to show 24u² + 28u + 20 as the product of an integer and a polynomial. |
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Definition
| 4(6u² + 7u + 5). EXPLANATION: Simply divide each item in the parentheses by 4 and pull the factor of 4 outside the parentheses. |
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Term
| Apply the distributive law to show 20u² + 40u + 40 as the product of an integer and a polynomial. |
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Definition
| 10(2u² + 4u + 4). EXPLANATION: Simply divide each item in the parentheses by 10 and pull the factor of 10 outside the parentheses. |
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Term
| Apply the distributive law to show 12r² - 16r - 10 as the product of an integer and a polynomial. |
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Definition
| 2(6r² - 8r - 5). EXPLANATION: Simply divide each item in the parentheses by 2 and pull the factor of 2 outside the parentheses. |
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Term
| Apply the distributive law to show 40v² - 24v + 32 as the product of an integer and a polynomial. |
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Definition
| 4(10v² - 6v + 8). EXPLANATION: Simply divide each item in the parentheses by 4 and pull the factor of 4 outside the parentheses. |
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Term
| Apply the distributive law to show 4p² - 4p + 18 as the product of an integer and a polynomial. |
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Definition
| 2(2p² - 2p + 9). EXPLANATION: Simply divide each item in the parentheses by 2 and pull the factor of 2 outside the parentheses. |
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Term
| Apply the distributive law to show 56q² - 16q - 72 as the product of an integer and a polynomial. |
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Definition
| 8(7q² - 2q - 9). EXPLANATION: Simply divide each item in the parentheses by 8 and pull the factor of 8 outside the parentheses. |
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Term
| Express this as a polynomial without parentheses: 4(8r² - 10r + 10) |
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Definition
| 32r² - 40r + 40. EXPLANATION: Simply multiply each item in the parentheses by 4. |
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Term
| Express this as a polynomial without parentheses: 7(5w² - 7w - 2) |
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Definition
| 35w² - 49w - 14. EXPLANATION: Simply multiply each item in the parentheses by 7. |
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Term
| Express this as a polynomial without parentheses: 5(7t² - 8t + 5) |
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Definition
| 35t² - 40t + 25. EXPLANATION: Simply multiply each item in the parentheses by 5. |
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Term
| Express this as a polynomial without parentheses: 3(9s² - 7s - 9) |
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Definition
| 27s² - 21s - 27. EXPLANATION: Simply multiply each item in the parentheses by 3. |
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Term
| Express this as a polynomial without parentheses: 5(6x² + 10x + 3) |
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Definition
| 30x² + 50x + 15. EXPLANATION: Simply multiply each item in the parentheses by 5. |
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Term
| Express this as a polynomial without parentheses: 4(8r² - 4r - 7) |
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Definition
| 32r² - 16r - 28. EXPLANATION: Simply multiply each item in the parentheses by 4. |
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Term
| Apply the distributive law to show 81y² - 81y - 54 as the product of an integer and a polynomial. |
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Definition
| 9(9y² - 9y - 6). EXPLANATION: Simply divide each item in the parentheses by 9 and pull the factor of 9 outside the parentheses. |
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Term
| Apply the distributive law to show 12x² + 8x + 6 as the product of an integer and a polynomial. |
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Definition
| 2(6x² + 4x + 3). EXPLANATION: Simply divide each item in the parentheses by 2 and pull the factor of 2 outside the parentheses. |
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Term
| Apply the distributive law to show 12t² - 54t + 48 as the product of an integer and a polynomial. |
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Definition
| 6(2t² - 9t + 8). EXPLANATION: Simply divide each item in the parentheses by 6 and pull the factor of 6 outside the parentheses. |
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Term
| Apply the distributive law to show 14r² - 14r - 8 as the product of an integer and a polynomial. |
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Definition
| 2(7r² - 7r - 4). EXPLANATION: Simply divide each item in the parentheses by 2 and pull the factor of 2 outside the parentheses. |
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Term
| Apply the distributive law to show 12w² - 16w + 40 as the product of an integer and a polynomial. |
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Definition
| 4(3w² - 4w + 10). EXPLANATION: Simply divide each item in the parentheses by 4 and pull the factor of 4 outside the parentheses. |
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Term
| Apply the distributive law to show 36y² - 18y - 48 as the product of an integer and a polynomial. |
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Definition
| 6(6y² - 3y - 8). EXPLANATION: Simply divide each item in the parentheses by 6 and pull the factor of 6 outside the parentheses. |
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Term
| Express this as a polynomial without parentheses: 10(5x² + 10x + 2) |
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Definition
| 50x² + 100x + 20. EXPLANATION: Simply multiply each item in the parentheses by 10. |
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Term
| Express this as a polynomial without parentheses: 6(6y² - 6y + 7) |
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Definition
| 36y² - 36y + 42. EXPLANATION: Simply multiply each item in the parentheses by 6. |
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Term
| Express this as a polynomial without parentheses: 10(9y² + 5y + 7) |
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Definition
| 90y² + 50y + 70. EXPLANATION: Simply multiply each item in the parentheses by 10. |
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Term
| Express this as a polynomial without parentheses: 4(2w² - 9w + 9) |
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Definition
| 8w² - 36w + 36. EXPLANATION: Simply multiply each item in the parentheses by 4. |
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Term
| Express this as a polynomial without parentheses: 5(3s² - 5s - 4) |
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Definition
| 15s² - 25s - 20. EXPLANATION: Simply multiply each item in the parentheses by 5. |
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Term
| Express this as a polynomial without parentheses: 5(2t² - 3t - 7) |
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Definition
| 10t² - 15t - 35. EXPLANATION: Simply multiply each item in the parentheses by 5. |
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Term
| Apply the distributive law to show 70w² + 100w + 60 as the product of an integer and a polynomial. |
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Definition
| 10(7w² + 10w + 6). EXPLANATION: Simply divide each item in the parentheses by 10 and pull the factor of 10 outside the parentheses. |
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Term
| Apply the distributive law to show 15t² - 27t - 15 as the product of an integer and a polynomial. |
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Definition
| 3(5t² - 9t - 5). EXPLANATION: Simply divide each item in the parentheses by 3 and pull the factor of 3 outside the parentheses. |
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Term
| Apply the distributive law to show 16t² + 40t + 12 as the product of an integer and a polynomial. |
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Definition
| 4(4t² + 10t + 3). EXPLANATION: Simply divide each item in the parentheses by 4 and pull the factor of 4 outside the parentheses. |
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Term
| Apply the distributive law to show 12x² + 20x + 32 as the product of an integer and a polynomial. |
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Definition
| 4(3x² + 5x + 8). EXPLANATION: Simply divide each item in the parentheses by 4 and pull the factor of 4 outside the parentheses. |
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Term
| Apply the distributive law to show 90r² + 100r - 80 as the product of an integer and a polynomial. |
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Definition
| 10(9r² + 10r - 8). EXPLANATION: Simply divide each item in the parentheses by 10 and pull the factor of 10 outside the parentheses. |
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Term
| Apply the distributive law to show 10q² - 18q - 20 as the product of an integer and a polynomial. |
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Definition
| 2(5q² - 9q - 10). EXPLANATION: Simply divide each item in the parentheses by 2 and pull the factor of 2 outside the parentheses. |
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Term
| Express this as a polynomial without parentheses: 5(4x² - 4x - 9) |
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Definition
| 20x² - 20x - 45. EXPLANATION: Simply multiply each item in the parentheses by 5. |
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Term
| Express this as a polynomial without parentheses: 8(10u² + 4u - 7) |
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Definition
| 80u² + 32u - 56. EXPLANATION: Simply multiply each item in the parentheses by 8. |
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Term
| Express this as a polynomial without parentheses: 3(5x² + 2x - 6) |
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Definition
| 15x² + 6x - 18. EXPLANATION: Simply multiply each item in the parentheses by 3. |
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Term
| Express this as a polynomial without parentheses: 8(2q² + 7q - 10) |
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Definition
| 16q^2 + 56q - 80. EXPLANATION: Simply multiply each item in the parentheses by 8. |
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Term
| Express this as a polynomial without parentheses: 9(5t^2 - 7t - 2) |
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Definition
| 45t² - 63t - 18. EXPLANATION: Simply multiply each item in the parentheses by 9. |
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Term
| Express this as a polynomial without parentheses: 8(4x^2 + 4x - 8) |
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Definition
| 32x² + 32x - 64. EXPLANATION: Simply multiply each item in the parentheses by 8. |
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Term
| Apply the distributive law to show 6p² + 10p + 12 as the product of an integer and a polynomial. |
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Definition
| 2(3p² + 5p + 6). EXPLANATION: Simply divide each item in the parentheses by 2 and pull the factor of 2 outside the parentheses. |
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Term
| Apply the distributive law to show 63w² - 42w - 28 as the product of an integer and a polynomial. |
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Definition
| 7(9w² - 6w - 4). EXPLANATION: Simply divide each item in the parentheses by 7 and pull the factor of 7 outside the parentheses. |
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Term
| Apply the distributive law to show 12t² + 4t - 6 as the product of an integer and a polynomial. |
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Definition
| 2(6t² + 2t - 3). EXPLANATION: Simply divide each item in the parentheses by 2 and pull the factor of 2 outside the parentheses. |
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Term
| Apply the distributive law to show 48y² + 72y - 48 as the product of an integer and a polynomial. |
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Definition
| 8(6y² + 9y - 6). EXPLANATION: Simply divide each item in the parentheses by 8 and pull the factor of 8 outside the parentheses. |
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Term
| Apply the distributive law to show 72r² - 36r - 81 as the product of an integer and a polynomial. |
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Definition
| 9(8r² - 4r - 9). EXPLANATION: Simply divide each item in the parentheses by 9 and pull the factor of 9 outside the parentheses. |
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Term
| Apply the distributive law to show 64v² - 16v + 72 as the product of an integer and a polynomial. |
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Definition
| 8(8v² - 2v + 9). EXPLANATION: Simply divide each item in the parentheses by 8 and pull the factor of 8 outside the parentheses. |
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