Explanation Given: The polynomial is 3 a 2 − 13 a − 30 . Calculation: Consider the given polynomial: 3 a 2 − 13 a − 30 Let the factor is ( p a + q ) ( r a + s ) . Then, 3 a 2 − 13 a − 30 = ( p a + q ) ( r a + s ) = p r a 2 + p s a + q r a + q s = p r a 2 + ( p s + q r ) a + q s Now, compare the coefficient of a 2 , a , and a 0 : p r = 3 p s + q r = − 13 q s = − 30 The positive factors of 3 are only 1 and 3 . And, the factors of − 30 are ( − 1 , 30 ) , ( 1 , − 30 ) , ( − 2 , 15 ) , ( 2 , − 15 ) , ( − 3 , 10 ) , ( 3 , − 10 ) , ( − 5 , 6 ) , ( 5 , − 6 )

MyLab Math with Pearson eText -- Standalone Access Card -- for Mathematics with Applications in the Management, Natural, and Social Sciences (12th Edition)

12th Edition

ISBN: 9780134856551

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

Publisher: PEARSON

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Chapter 1.3, Problem 55E

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To calculate: The factor of the polynomial, 3a2−13a−30.

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Chapter 1.3, Problem 54E

Chapter 1.3, Problem 56E

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MyLab Math with Pearson eText -- Standalone Access Card -- for 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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The factor of the polynomial, 3 a 2 − 13 a − 30 .

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To calculate: The factor of the polynomial, 3a2−13a−30.

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