Question

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. The factors of 5y2 − 2y − 7 are (5y − 7) ( ______ )

Answer 1

y + 1

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.