Explanation Given Information: Provided trinomial is 12 x 2 − 17 x − 5 . Formula Used: The steps to factorize a trinomial using a c -method are as follows, Step1. Factor out any common factor other than 1 or − 1 , if possible. Step2. Consider the remaining trinomial in the standard form a x 2 + b x + c , where a ≠ 0 Step3. Factorize the product a c as sum of b or, compute the integers p and q where p q = a c and p + q = b . Step4. Spilt the middle term b as p + q . Step5. Factorize by using grouping. Step6. Verify the product of factors. Calculation: Consider the trinomial 12 x 2 − 17 x − 5 . 1) There is no common factor. Compare the trinomial with standard form, this gives a = 12 , b = − 17 and c = − 5 Compute the product a c , a c = 12 ⋅ − 5 = − 60 3) Look for pair of factor of − 60 whose sum is − 17 . Pairs of factors Sums of factors 1 , − 60 − 59 − 1 , 60 59 2 , − 30 − 28 − 2 , 30 28 3 , − 20 − 17 The sum of the factors 3 and − 20 is − 17

16th Edition

ISBN: 9781323235911

Author: BITTINGER

Publisher: Pearson Custom Publishing

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Chapter 11 Solutions

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The factorization of trinomial 12 x 2 − 17 x − 5 .

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