Question

Which of the binomials below is a factor of this trinomial x^2-10x+39

Answer 1

`(x-13)(x+3)`

Explanation:

To factor the equation, break it into two binomials which multiply to make the equation. To write these binomials (x+a)(x+b), find factors which multiply to 39 and add to -10 for a and b.

39: 1, 3, 13, 39

-13 + 3 = -10

`x^2-10x-39 = (x-13)(x+3)`