Explanation Given Information: The provided expression is x 2 − 21 x − 72 . Formula used: For factorizing a trinomial, following steps have been followed: Step 1 : The polynomials of the trinomial are arranged in decreasing order. Step 2 : For evaluating the factor of the constant term and coefficient of first-degree of the trinomial trial -and- error process is applied. Step 3 : If the constant term is positive, then the signs of the factors are of the same sign as the sign of the coefficient of the first degree. Step 4 : If the constant term is negative then one factor is positive and other is negative, if the sum of the factor is opposite of coefficient of first degree of a trinomial, changing the sign of each factor will give the required factorization. Step 5 : Verify by multiplying the evaluated binomial. Calculation: Consider the trinomial expression x 2 − 21 x − 72 . Now consider the trinomial x 2 − 21 x − 72 in which the constant term is negative. Therefore, both the factors of the provided trinomial must be of opposite sign. The coefficient of first degree in the provided trinomial x 2 − 21 x − 72 is − 21 . So, consider the two factors of − 72 by trial-error-process such that their sum must be − 21 . The all possible pairs of factors of − 72 in which the negative factor has larger absolute value are as follows, Pairs of possible factors of − 72 Sum of factors − 72 , + 1 − 71 − 24 , + 3 − 21

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 11.2, Problem 43ES

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Chapter 11.2, Problem 42ES

Chapter 11.2, Problem 44ES

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The factorization of trinomial expression x 2 − 21 x − 72 .

Solution Summary: The author calculates the factorization of the trinomial expression x2-21x-72.

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