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 t 2 + 5 t − 24 as follows. Since the leading coefficient of t 2 is 1, the binomial factors are of the form ( t ) ( t ) . It is observed that, the product is the constant –24 and the sum is the coefficient of x that is 5. The possibilities for the last term of each binomial factor are as shown below in Table 1

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Chapter 6.2, Problem 13E

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To factor: The given expression t2+5t−24 completely.

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Chapter 6.2, Problem 12E

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Chapter 6 Solutions

Basic Technical Mathematics

Ch. 6.1 - Prob. 1PE Ch. 6.1 - Prob. 2PE Ch. 6.1 - Prob. 3PE Ch. 6.1 - Prob. 4PE Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E

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To factor: The given expression t 2 + 5 t − 24 completely.

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