Divide 2m (m2- 12m - 35)
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3m ( m - 7)
Answers
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "m2" was replaced by "m^2".
STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
-m2 - 12m - 35 = -1 • (m2 + 12m + 35)
Trying to factor by splitting the middle term
2.2 Factoring m2 + 12m + 35
The first term is, m2 its coefficient is 1 .
The middle term is, +12m its coefficient is 12 .
The last term, "the constant", is +35
Step-1 : Multiply the coefficient of the first term by the constant 1 • 35 = 35
Step-2 : Find two factors of 35 whose sum equals the coefficient of the middle term, which is 12 .
-35 + -1 = -36
-7 + -5 = -12
-5 + -7 = -12
-1 + -35 = -36
1 + 35 = 36
5 + 7 = 12 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 5 and 7
m2 + 5m + 7m + 35
Step-4 : Add up the first 2 terms, pulling out like factors :
m • (m+5)
Add up the last 2 terms, pulling out common factors :
7 • (m+5)
Step-5 : Add up the four terms of step 4 :
(m+7) • (m+5)
Which is the desired factorization
Final result :
(-m - 7) • (m + 5)