Explanation Given Information: The expressionis, 7 ( 4 m − 3 ) ( 2 m + 1 ) Formula used: The multiplication of binomials by FOIL method can be calculated as follows, Step1: Multiply the First two terms of binomial to find the first term of the product. Step2: Multiply the Outer terms and Inner terms of the binomial then add them to obtain the middle term of the product. Step3: Multiply the Last two terms of the binomial to obtain the last term of the product. FOIL method: The FOIL stand for First-Outer-Inner-Last. The FOIL is applied for the binomial is, ( a + b ) ( c + d ) = a c + a d + b c + b d Here, a , b , c and d are the real number. The Product rule states that for any real numbers a and b , and integers m and n , a m ⋅ a n = a m + n Distributive property states that for any real number a , b and c , ( a ⋅ b ) ⋅ c = a ⋅ ( b ⋅ c ) Calculation: Consider the expression. 7 ( 4 m − 3 ) ( 2 m + 1 ) Use the product rule and FOIL to multiply ( 4 m − 3 ) ( 2 m + 1 ) . F : 4 m ( 2 m ) = 8 m 2 O : 4 m ( 1 ) = 4 m I : − 3 ( 2 m ) = − 6 m L : − 3 ( 1 ) = − 3 Now, add the monomials

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 4.5, Problem 93E

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To calculate: The product of polynomial 7(4m−3)(2m+1).

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Chapter 4.5, Problem 92E

Chapter 4.5, Problem 94E

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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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The product of polynomial 7 ( 4 m − 3 ) ( 2 m + 1 ) .

Solution Summary: The author explains how the multiplication of binomials by FOIL method can be calculated as follows: First-Outer-Inner-Last.

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To calculate: The product of polynomial 7(4m−3)(2m+1).

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Chapter 4 Solutions