Explanation Given Information: The expression, 8 k 4 − 12 k 3 − 2 k 2 + 7 k − 6 2 k − 3 . Formula used: Following steps are used to divide a polynomial by a polynomial: Step 1: Polynomial must be in descending order. Step 2: Divide the term with the greatest power of dividend by the term with the highest power of divisor; then multiply the resultant term with the divisor. Step 3: Subtract and bring down the next term. Step 4: Repeat the Steps 2 and 3 until there are no terms to bring down. Step 5: The final answer after the subtract step is the remainder. Calculation: Consider the expression, 8 k 4 − 12 k 3 − 2 k 2 + 7 k − 6 2 k − 3 . Step 1: Divide 8 k 4 by 2 k . That is, 8 k 4 2 k = 4 k 3 . Distribute 4 k 3 with ( 2 k − 3 ) . That is, 4 k 3 ( 2 k − 3 ) = 8 k 4 − 12 k 3 . Step 2: Subtract ( 8 k 4 − 12 k 3 ) from ( 8 k 4 − 12 k 3 ) . Then bring down the next term − 2 k 2 + 7 k . Step 3: Divide − 2 k 2 by 2 k . That is, − 2 k 2 2 k = − k . Distribute − k with ( 2 k − 3 ) . That is, − k ( 2 k − 3 ) = − 2 k 2 + 3 k . Step 3: Subtract ( − 2 k 2 + 3 k ) from ( − 2 k 2 + 7 k ) . Then bring down the next term − 6 . Step 4: Divide 4 k by 2 k . That is, 4 k 2 k = 2 . Distribute 6 with ( 2 k − 3 ) . That is, 6 ( 2 k − 3 ) = 12 k − 18 . Step 5: Subtract ( 4 k − 6 ) from ( 4 k − 6 ) . The remainder is 0

Beginning and Intermediate Algebra (6th Edition)

6th Edition

ISBN: 9780321969163

Author: Margaret L. Lial, John Hornsby, Terry McGinnis

Publisher: PEARSON

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Chapter 4.7, Problem 51E

To determine

To calculate: The value of the expression, 8k4−12k3−2k2+7k−62k−3 using long division process.

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Chapter 4.7, Problem 50E

Chapter 4.7, Problem 52E

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Chapter 4 Solutions

Beginning and Intermediate Algebra (6th Edition)

Ch. 4.1 - Concept Check Decide whether each statement is...Ch. 4.1 - Concept Check Decide whether each statement is...Ch. 4.1 - Prob. 3E Ch. 4.1 - Concept Check Decide whether each statement is...Ch. 4.1 - Write each expression in exponential form. See...Ch. 4.1 - Write each expression in exponential form. See...Ch. 4.1 - Prob. 7E Ch. 4.1 - Write each expression in exponential form. See...Ch. 4.1 - Prob. 9E Ch. 4.1 - Write each expression in exponential form. See...

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The value of the expression, 8 k 4 − 12 k 3 − 2 k 2 + 7 k − 6 2 k − 3 using long division process.

Solution Summary: The author calculates the value of the expression, 8k4-12

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To calculate: The value of the expression, 8k4−12k3−2k2+7k−62k−3 using long division process.

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Chapter 4 Solutions