Factoring trinomials

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Factor: 48m^2-119m-24

Sep 30th, 2015

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Step-1 : Multiply the coefficient of the first term by the constant   48 • -24 = -1152

Step-2 : Find two factors of  -1152  whose sum equals the coefficient of the middle term, which is   -119 .

We get -128 and +9

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -128  and  9 
48m2 - 128m + 9m - 24

Step-4 : Add up the first 2 terms, pulling out like factors :
16m * (3m-8)
  Add up the last 2 terms, pulling out common factors :
3 * (3m-8)

Step-5 : Add up the four terms of step 4 :
(16m+3) • (3m-8)


(3m-8) (16m+3)

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 30th, 2015

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