Explanation Given: The given expression is, y 3 − 7 y 2 + 16 y − 12 y − 2 Calculation: Consider the given algebraic expression. y 3 − 7 y 2 + 16 y − 12 y − 2 Perform long division of the given expression. y 3 − 7 y 2 + 16 y − 12 y − 2 = y − 2 y 3 − 7 y 2 + 16 y − 12 = y − 2 y 2 y 3 − 7 y 2 + 16 y − 12 − ( y 3 − 2 y 2 ) _ − 5 y 2 Bring down 16 y to get − 5 y 2 + 16 y . Multiply the divisor by − 5 y to get up to the dividends highest power which is − 2 y 2 . This will give − 2 y ( y − 2 ) = − 2 y 2 + 4 y . Then subtract this term from the dividend. y 3 − 7 y 2 + 16 y − 12 y − 2 = y − 2 y 2 − 5 y y 3 − 7 y 2 + 16 y − 12 − y 3 − 2 y 2 _ 0 ⋅ y 3 − 5 y 2 + 16 <

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ISBN: 9781285195728

Author: Jerome E. Kaufmann, Karen L. Schwitters

Publisher: Cengage Learning

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Chapter 8.CM, Problem 13CM

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The simplified form of the given expression.

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Ch. 8.1 - For Problems 110, answer true or false. The graph...Ch. 8.1 - Prob. 2CQ Ch. 8.1 - Prob. 3CQ Ch. 8.1 - Prob. 4CQ Ch. 8.1 - Prob. 5CQ Ch. 8.1 - Prob. 6CQ Ch. 8.1 - Prob. 7CQ Ch. 8.1 - Prob. 8CQ Ch. 8.1 - Prob. 9CQ Ch. 8.1 - Prob. 10CQ

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Solution Summary: The author explains the simplified form of the given expression, which is y2-5y+6.

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