<PRE><B>Question 190084</B>
Start by multiplying 10 x -15.

So, 10 x -15 = -150.

Ask yourself, what two numbers when multiplied together will yield -150 BUT when added will yield -19?  Do you see -19 in your trinomial?

How about -25 times 6?

Yes, that will work!

10w^2 - 25w + 6w - 15

We now make two groups.

10w^2 - 25w is the first group.

6w - 15 is the second group.

Factor each group individually.

10w^2 - 25w becomes 5w(2w - 5)

6w - 15 becomes 3(2w - 5)

Do you see the quantity 2w - 5?

We only need one of them.

Final answer: (5w + 3)(2w - 5)

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