y2−7y−60

1 answer

To factor the expression y^2 - 7y - 60, we need to find two numbers that multiply to -60 and add up to -7. The two numbers are -12 and 5.

So, we can rewrite the expression as:
y^2 - 12y + 5y - 60

Now, we can factor by grouping:
y(y - 12) + 5(y - 12)

Now factor out the common factor:
(y + 5)(y - 12)

Therefore, the factored form of y^2 - 7y - 60 is (y + 5)(y - 12).