Explanation Given information: The provided trinomial expression is: 40 x 2 − 43 x − 6 Formula used: FOIL method to factor trinomial is given by: Step 1- Consider the trinomial of the form a x 2 + b x + c , a ≠ 1 . Step 2- Check the greatest common factor. Step 3- Multiply a and c in the above trinomial expression. Step 4- Break the middle term with x into two parts such that the sum of two parts is equal to b and the multiplication of the parts is equal to the product of a and c . Step 5- Take the common factors out and represent the expression in the factor form. Calculation: Consider the given expression 40 x 2 − 43 x − 6 . Since there is no common factor in the terms of the expression. Therefore, take the multiplication of the coefficients of quadratic term 40 x 2 and constant term − 6 . The product of 40 and − 6 is − 240 . Now, break the middle term − 43 x in the equation 40 x 2 − 43 x − 6 two parts such that the multiplication of the pats is equal to the multiplication of constant of quadratic term and constant term

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 12.1, Problem 2SR

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To calculate: The factorization of the trinomial expression 40x2−43x−6 by the FOIL method.

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Chapter 12.1, Problem 1SR

Chapter 12.1, Problem 1DE

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Chapter 12 Solutions

Developmental Mathematics (9th Edition)

Ch. 12.1 - Objective 11.3a: Factor trinomials of the type...Ch. 12.1 - Prob. 2SR Ch. 12.1 - Prob. 1DE Ch. 12.1 - Prob. 2DE Ch. 12.1 - Prob. 3DE Ch. 12.1 - Prob. 4DE Ch. 12.1 - Prob. 5DE Ch. 12.1 - Prob. 6DE Ch. 12.1 - Prob. 7DE Ch. 12.1 - Prob. 8DE

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The factorization of the trinomial expression 40 x 2 − 43 x − 6 by the FOIL method.

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Chapter 12 Solutions