Factor: 48m^2-119m-24

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Step-1 : Multiply the coefficient of the first term by the constant 48 • -24 = -1152Step-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 48m^{2} - 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)

ANSWER

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

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