Explanation Procedure used: Factoring trinomials x 2 + ( a + b ) x + a b with a leading coefficient of 1: “Find the two integers that have a product equal to the last term of a trinomial and a sum equal to the coefficient of x . Once we find these two integers we insert them into the following product to get the factored form ( x ) ( x ) ”. Calculation: Factor the given expression s 2 − s − 42 as follows. Since the leading coefficient of s 2 is 1, the binomial factors are of the form ( s ) ( s ) . It is observed that, the product is the constant –42 and the sum is the coefficient of x that is –1. The possibilities for the last term of each binomial factor are as shown below in Table 1

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Author: Washington

Publisher: PEARSON

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Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

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Chapter 6.2, Problem 11E

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To factor: The given expression s2−s−42 completely.

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To factor: The given expression s 2 − s − 42 completely.

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