Explanation Given Information: Area of the parallelogram, A = 2 x 3 + 2 x 2 − 3 x − 1 . Height of the parallelogram, H = x − 1 . Formula used: 1. The area of a parallelogram is: Area = ( base ) ( height ) . 2. 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. If the remainder is non-zero, then write it as the numerator of a fraction with the divisor as remainder; which makes the answer is not a polynomial. Calculation: Consider the area of the parallelogram, A = 2 x 3 + 2 x 2 − 3 x − 1 and height of the parallelogram, H = x − 1 . Substitute the values in the formula, Area = ( base ) ( height ) . Therefore, 2 x 3 + 2 x 2 − 3 x − 1 = b ( x − 1 ) Divide both sides of the equation by ( x − 1 ) , 2 x 3 + 2 x 2 − 3 x − 1 ( x − 1 ) = b Step 1: Divide 2 x 3 by x . That is, 2 x 3 x = 2 x 2 . Distribute 2 x 2 with ( x − 1 ) . Step 2: Subtract ( 2 x 3 − 2 x 2 ) from ( 2 x 3 + 2 x 2 ) . Then bring down the next term − 3 x . Step 3: Divide 4 x 2 by x . That is, 4 x 2 x = 4 x

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 82E

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To calculate: Thepolynomial expression for the base of a parallelogram in appropriate units when the area of the parallelogram is 2x3+2x2−3x−1 and the height is x−1.

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Chapter 4.7, Problem 81E

Chapter 4.7, Problem 83E

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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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Thepolynomial expression for the base of a parallelogram in appropriate units when the area of the parallelogram is 2 x 3 + 2 x 2 − 3 x − 1 and the height is x − 1 .

Solution Summary: The author calculates the polynomial expression for the base of a parallelogram in appropriate units.

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To calculate: Thepolynomial expression for the base of a parallelogram in appropriate units when the area of the parallelogram is 2x3+2x2−3x−1 and the height is x−1.

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Chapter 4 Solutions