Explanation Given Information: The provided expression is: 8 x + x 3 Formula used: The distributive property is, a ( b + c ) = a b + a c Calculation: Consider the provided expression is: 8 x + x 3 Observe that the polynomial, 8 x + x 3 has two terms. The given polynomial 8 x + x 3 is not in factored form as it is written as the sum of two terms. First, find the greatest common factor of the terms 8 x and x 3 . Note that the greatest common factor (GCF) of two terms is the largest common factor of those terms. 8 x = 8 ⋅ x x 3 = x ⋅ x ⋅ x The greatest common factor is given by taking the least number of times, each factor appears in both the factored forms. Here, the greatest common factor of the two terms 8 x and x 3 is x , that is, x . Write 8 x + x 3 so that each term is a product with x as one factor

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Author: Lial

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Chapter 12, Problem 19CRE

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To calculate: The factored form of 8x+x3 by factoring out the greatest common factor.

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Chapter 12, Problem 18CRE

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Chapter 12 Solutions

INTEGRATED REV.F/BEG.+INT.ALG.W/ACC.>C<

Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Prob. 4E Ch. 12.1 - Prob. 5E Ch. 12.1 - Prob. 6E Ch. 12.1 - Prob. 7E Ch. 12.1 - Prob. 8E Ch. 12.1 - Prob. 9E Ch. 12.1 - If the function is one-to-one, find its inverse....

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The factored form of 8 x + x 3 by factoring out the greatest common factor.

Solution Summary: The author calculates the factored form of 8x+x3 by factoring out the greatest common factor.

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