Question

Factories-20-2m+6m^2​

Answer 1

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

(2m2 - 6m) - 20

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

2m2 - 6m - 20 = 2 • (m2 - 3m - 10)

Trying to factor by splitting the middle term

3.2 Factoring m2 - 3m - 10

The first term is, m2 its coefficient is 1 .

The middle term is, -3m its coefficient is -3 .

The last term, "the constant", is -10

Step-1 : Multiply the coefficient of the first term by the constant 1 • -10 = -10

Step-2 : Find two factors of -10 whose sum equals the coefficient of the middle term, which is -3 .

-10 + 1 = -9

-5 + 2 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and 2

m2 - 5m + 2m - 10

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 :

2 • (m-5)

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

(m+2) • (m-5)

Which is the desired factorization

Answer 2

Step-by-step explanation:

see the photo for full explanation