Factor:

2m² + 3m - 9

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)

(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)