Question

Two factors of 3m²-4m-7 are​

Answer 1

Step-by-step explanation:

The first term is, 3m2 its coefficient is 3 .

The middle term is, -4m its coefficient is -4 .

The last term, "the constant", is -7

Step-1 : Multiply the coefficient of the first term by the constant 3 • -7 = -21

Step-2 : Find two factors of -21 whose sum equals the coefficient of the middle term, which is -4 .

-21 + 1 = -20

-7 + 3 = -4 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 3

3m2 - 7m + 3m - 7

Step-4 : Add up the first 2 terms, pulling out like factors :

m • (3m-7)

Add up the last 2 terms, pulling out common factors :

1 • (3m-7)

Step-5 : Add up the four terms of step 4 :

(m+1) • (3m-7)

Which is the desired factorization