the binomial y to the power of 2 - 49 has y - 7 as one of its factors.

what is the other factor of the binomial?

1 answer

To find the other factor of the binomial, we can use the difference of squares formula.

The difference of squares formula states that if we have a binomial in the form x^2 - a^2, its factors are (x - a) and (x + a).

In this case, the binomial is y^2 - 49, which can be written as (y)^2 - (7)^2.

Using the difference of squares formula, we can factor the binomial as (y - 7)(y + 7).

Therefore, the other factor of the binomial is (y + 7).