Question

10w^2-19w-15?

Answer 1

(5w+3)(2w-5) would be the answer, but let me show you a cool way to solve these guys

Answer 2

you multiply the 1st and the last number, 10 * 15 = 150

Answer 3

now you will find the factors of 150 such as

1&150
2&75
3&50 ...

Answer 4

while you are doing that, you will check if there is any way that you can combine those factors to get the middle coefficient, in our case -19

you will see that

6 and 25 (factors of 150)
can be combined as 6-25 = -19

Answer 5

so once you find that out, you car write

10w^2 -19 w -15 as

10w^2 - 25w + 6w -15, so if you do factoring by grouping,

5w(w-5) + 3(w-5) and finally

(5w+3)(w-5)

Answer 6

good luck with the other problems :)

Answer 7

Thank you!!! :D

Answer 8

np