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Adrienne Wilkinson
Mathematics
30 May, 06:53
Factor:
2m² + 3m - 9
+1
Answers (
2
)
Julius Washington
30 May, 07:05
0
2m2+3m-9
Final result:
(2m - 3) • (m + 3)
Reformatting the input:
Changes made to your input should not affect the solution:
(1) : "m2" was replaced by "m^2".
Step by step solution:
Step 1:
Equation at the end of step 1:
(2m2 + 3m) - 9
Step 2:
Trying to factor by splitting the middle term
2.1 Factoring 2m2+3m-9
The first term is, 2m2 its coefficient is 2.
The middle term is, + 3m its coefficient is 3.
The last term, "the constant", is - 9
Step-1 : Multiply the coefficient of the first term by the constant 2 • - 9 = - 18
Step-2 : Find two factors of - 18 whose sum equals the coefficient of the middle term, which is 3.
-18 + 1 = - 17
-9 + 2 = - 7
-6 + 3 = - 3
-3 + 6 = 3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 3 and 6
2m2 - 3m + 6m - 9
Step-4 : Add up the first 2 terms, pulling out like factors:
m • (2m-3)
Add up the last 2 terms, pulling out common factors:
3 • (2m-3)
Step-5 : Add up the four terms of step 4:
(m+3) • (2m-3)
Which is the desired factorization
Final result:
(2m - 3) • (m + 3)
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Trevor Dominguez
30 May, 07:05
0
(2m-3) * (m+3)
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 2 • - 9 = - 18
Step-2 : Find two factors of - 18 whose sum equals the coefficient of the middle term, which is 3.
-18 + 1 = - 17
-9 + 2 = - 7
-6 + 3 = - 3
-3 + 6 = 3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 3 and 6
2m2 - 3m + 6m - 9
Step-4 : Add up the first 2 terms, pulling out like factors:
m • (2m-3)
Add up the last 2 terms, pulling out common factors:
3 • (2m-3)
Step-5 : Add up the four terms of step 4:
(m+3) • (2m-3)
Which is the desired factorization
Final result:
(2m - 3) • (m + 3)
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