Explanation Given Information: The trinomial is 2 w 2 − 12 w − 32 . Formula used: Steps to find the factored form of trinomial, x 2 + b x + c Assume that b and c are positive values. Step 1: First of all, look for the monomial factor. Step 2: After that check the type of trinomial. a) For trinomial x 2 + b x + c , this form is used: x 2 + b x + c = ( x + ) ( x + ) b) For trinomial x 2 − b x + c , this form is used: x 2 − b x + c = ( x − ) ( x − ) c) For trinomial x 2 − b x − c and x 2 + b x − c , this form is used: x 2 − b x − c = ( x + ) ( x − ) x 2 + b x − c = ( x + ) ( x − ) Calculation: Consider the trinomial 2 w 2 − 12 w − 32 . Now, 2 w 2 − 12 w − 32 has no common monomial factor. On further simplification, equation becomes: 2 ( w 2 − 6 w − 16 ) For trinomial w 2 − 6 w − 16 , w 2 − 6 w − 16 = ( w + ) ( w − ) Find the factors in such a way that product is − 16 and sum is − 6

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ISBN: 9781285199191

Author: Dale Ewen, C. Robert Nelson

Publisher: Cengage Learning

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Chapter 10.3, Problem 28E

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To calculate: The factored form of trinomial 2w2−12w−32.

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Chapter 10.3, Problem 27E

Chapter 10.3, Problem 29E

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Chapter 10 Solutions

Elementary Technical Mathematics

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The factored form of trinomial 2 w 2 − 12 w − 32 .

Solution Summary: The author calculates the factored form of trinomial 2w2-12w-32.

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