Which of the binomials below is a factor of this trinomial? X^2+2x-63

x+9

Step-by-step explanation:

If we use syntetic division we get that

(x+9)(x-7)

Step-by-step explanation:

For this trinomial, we will factor the constant at the end into 7 and 9.  From here we will break down the trinomial into a binomial form.

(x + or - #) ( x + or - #)

We know that our middle value is positive so we want the larger factor to be positive, and we know our constant is negative, so we want the smaller value to also be negative, so that when multiplied together we still get back the original trinomial.

(x + 9) (x - 7) = x^2 + 9x - 7x - 63 = x^2 + 2x - 63

Cheers.