What is the factored form of the expression?

120y^2 - 63y - 147

3 (5y - 7) (8y + 7)

Step-by-step explanation:

120y^2 - 63y - 147

Factor out a 3

3 (40y^2 - 21y - 49)

40 = 1*40, 2*20 4*10 5*8

49 = 1*49 and 7*7

We need to play with the combinations to get - 21 when added together

I will try

3 (5y 7) (8y 7)

We need the bigger one to be negative

5*7 + - 8*7 = 35-56 = - 21

So the 7 that multiplies by the 8 must be negative

3 (5y - 7) (8y + 7)