Divide 6m2 + 5m − 6 by 2m + 3
Answers
Answer:
2m - 3) • (3m + 2) solution
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "m2" was replaced by "m^2".
STEP
1
:
Equation at the end of step 1
((2•3m2) - 5m) - 6
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 6m2-5m-6
The first term is, 6m2 its coefficient is 6 .
The middle term is, -5m its coefficient is -5 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 6 • -6 = -36
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -5 .
-36 + 1 = -35
-18 + 2 = -16
-12 + 3 = -9
-9 + 4 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 4
6m2 - 9m + 4m - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
3m • (2m-3)
Add up the last 2 terms, pulling out common factors :
2 • (2m-3)
Step-5 : Add up the four terms of step 4 :
(3m+2) • (2m-3)
Which is the desired factorization
Final result :
(2m - 3) • (3m + 2)
Step-by-step explanation:
mark as brainleast please
