Explanation Factorizing a trinomial is to express the given trinomial as a product of two binomials such that, the terms involved in each of the factors do not have any HCF other than 1. Calculation: Given, x 3 − 2 x 2 − 36 x + 72 The group terms are, ( x 3 − 2 x 2 ) + ( − 36 x + 72 ) Factorize: ( x 3 − 2 x 2 ) as x 2 ( x − 2 ) and ( − 36 x + 72 ) as − 36 ( x − 2 ) (i.e.) ( x 3 − 2 x 2 ) + ( − 36 x + 72 ) = x 2 ( x − 2 ) − 36 ( x − 2 ) Since, ( x − 2 ) is distributed over ( x 2 − 36 ) x 3 − 2 x 2

Prealgebra & Introductory Algebra (4th Edition)

4th Edition

ISBN: 9780321955791

Author: Elayn Martin-Gay

Publisher: PEARSON

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Chapter 11.IR, Problem 42IR

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To factor:

x3−2x2−36x+72.

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Chapter 11.IR, Problem 41IR

Chapter 11.IR, Problem 43IR

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Chapter 11 Solutions

Prealgebra & Introductory Algebra (4th Edition)

Ch. 11.1 - Prob. 1CC Ch. 11.1 - Prob. 2CC Ch. 11.1 - Prob. 1P Ch. 11.1 - Prob. 2P Ch. 11.1 - Prob. 3P Ch. 11.1 - Prob. 4P Ch. 11.1 - Prob. 5P Ch. 11.1 - Prob. 6P Ch. 11.1 - Prob. 7P Ch. 11.1 - Prob. 8P

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To factor: x 3 − 2 x 2 − 36 x + 72 .

To factor: x3−2x2−36x+72.

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Chapter 11 Solutions

To factor:

x3−2x2−36x+72.