Question

Which of the binomials below is a factor of this trinomial?x^2 - 13x + 42A. x + 84B. x - 7C. x^2 +12D. x + 7

Answer 1

Given the following trinomial:

`x^2-13x+42`

To factor the trinomial, we need two numbers the product of them = 42

And the sum of them = -13

Two of the numbers of factors of 42 = -6, and -7

So, the factor of the trinomial will be as follows:

`x^2-13x+42=(x-6)(x-7)`

So, the answer will be option B. x - 7