Answer:
y + 1
Step-by-step explanation:
Factor 5y^2 - 2y - 7.
= (5y - 7)(y + ?)
There must be a y in the second parentheses in order to get the 5y^2. The ? must be 1 because -7 * 1 = the -7 in the original expression.
The answer is x + 1.
We can further confirm the correctness of x + 1 by expanding the factors to see if we get the original expression:-
(5y - 7)(y + 1)
= 5y(y + 1) - 7(y + 1)
= 5y^2 + 5y - 7y - 7
= 5y^2 - 2y - 7 which is the original expression.
