To determine To calculate: the factor of polynomial: 15 p 2 − 23 p + 4 Explanation Given: The polynomial is 15 p 2 − 23 p + 4 . Formula Used: ( a p + b ) ( c p + d ) = a c p 2 + ( a d + b c ) p + b d Calculation: Consider the given polynomial 15 p 2 − 23 p + 4 . Let the factor be ( a p + b ) ( c p + d ) . Then, 15 p 2 − 23 p + 4 = ( a p + b ) ( c p + d ) = a c p 2 + a d p + b c p + b d = a c p 2 + ( a d + b c ) p + b d Compare the coefficient a c = 15 a d + b c = − 23 b d = 4 The positive factors of 15 are 1 and 15 or 3 and 5 . Since the middle term is negative, consider only negative factors of 4

Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)

12th Edition

ISBN: 9780134767628

Author: Margaret L. Lial, Thomas W. Hungerford, John P. Holcomb, Bernadette Mullins

Publisher: PEARSON

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Chapter 1.3, Problem 27E

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To calculate: the factor of polynomial: 15p2−23p+4

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Chapter 1.3, Problem 26E

Chapter 1.3, Problem 28E

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Chapter 1 Solutions

Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)

Ch. 1.1 - Name all the types of numbers that apply to the...Ch. 1.1 - Checkpoint 2 Name the property illustrated in each...Ch. 1.1 - Checkpoint 3 Name the property illustrated in each...Ch. 1.1 - Checkpoint 4 Use the distributive property to...Ch. 1.1 - Checkpoint 5 Evaluate the following if and...Ch. 1.1 - Checkpoint 6 Use a calculator to evaluate the...Ch. 1.1 - Prob. 7CP Ch. 1.1 - Checkpoint 8 Draw a number line, and graph the...Ch. 1.1 - Prob. 9CP Ch. 1.1 - Checkpoint 10 Graph all real numbers x such that...

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