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

Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term

12th Edition

ISBN: 9781337890199

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 10.3, Problem 28E

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Chapter 10.3, Problem 27E

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Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term

Ch. 10.1 - Factor: 4a+4 Ch. 10.1 - Factor: 3x6 Ch. 10.1 - Factor: bx+by Ch. 10.1 - Factor: 918y Ch. 10.1 - Factor: 15b20 Ch. 10.1 - Factor: 12ab+30ac Ch. 10.1 - Factor: x27x Ch. 10.1 - Factor: 3x26x Ch. 10.1 - Factor: a24a Ch. 10.1 - Factor: 7xy21y

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

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