8 w 4 + 10 w 3 − 12 w 2 Factor completely

Step-by-step explanation:

First, factor out the GCF of all terms, 2w^2:

Now we work on the trinomial.

Think of ax^2 + bx + c.

Multiply ac

ac = 4 * (-6) = -24

Now we need two numbers whose product is -24 and whose sum is 5.

They are -3 and 8.

We break up the middle term, 5w, into a sum using these two numbers.

5w = 8x - 3w

Now we factor by parts. We factor a common factor out of the first two terms, and we factor a common factor out of the last two terms.

9 x 8 divided by (5-3)=36

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24