Question

Which of the binomials below is a factor of this trinomial?

х2-13х+ 30
А. x+ 3
в. x+5
с. х-3
D. х- 5

Answer 1

C. x - 3

Explanation:

The first step to solving this trinomial is to split the middle term (-13x) into two terms that can be added together to get -13x, and be multiplied to get 30):

`x^(2) - 13x + 30`

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

Group:

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

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

Take out the GCF (Greatest Common Factor):

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

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

(x - 10) (x - 3)

In the following answer choices, they don't have the choice of (x - 10), but they do have (x - 3), meaning this is your final answer.