Question

Which of the binomials below is a factor of this trinominal? x^2-13+30

Answer 1

`(x-3)(x-10)`

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 30 and add to -13 for a and b.

30: 1, 2, 3, 5, 6, 10, 15, 30

-3+-10 = -13

`x^2-13x+30 = (x-3)(x-10)`