Explanation Given Information: The expressionis, − 2 x 5 ( 3 x 2 + 2 x − 5 ) ( 4 x + 2 ) Formula used: The Product rule states that for any real numbers a and b , and integers m and n , a m ⋅ a n = a m + n For real numbers a , b and c , the following formula is hold truly. Distributive property: a ( b + c ) = a b + a c Calculation: Consider the expression. − 2 x 5 ( 3 x 2 + 2 x − 5 ) ( 4 x + 2 ) Calculate the multiplication of the polynomial ( 3 x 2 + 2 x − 5 ) ( 4 x + 2 ) . Multiply each term of the second polynomial by each term of the first. As, Use the distributive property. ( 4 x + 2 ) ( 3 x 2 + 2 x − 5 ) = 4 x ( 3 x 2 ) + 4 x ( 2 x ) + 4 x ( − 5 ) + 2 ( 3 x 2 ) + 2 ( 2 x ) + 2 ( − 5 ) Use the Product rule. ( 4 x + 2 ) ( 3 x 2 + 2 x − 5 ) = 12 x 3 + 8 x 2 − 20 x + 6 x 2 + 4 x − 10 Add like terms

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ISBN: 9781323910528

Author: Lial

Publisher: PEARSON C

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A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Chapter 4.5, Problem 99E

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To calculate: The product of polynomials −2x5(3x2+2x−5)(4x+2).

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Chapter 4.5, Problem 98E

Chapter 4.5, Problem 100E

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Chapter 4 Solutions

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

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 polynomials − 2 x 5 ( 3 x 2 + 2 x − 5 ) ( 4 x + 2 ) .

Solution Summary: The author explains how to calculate the product of polynomials using the Product rule.

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