Question

Which of the binomials below is a factor of this trinomial ? X^2 -13+42

Answer 1

In this case we have the following trinomial:

`x ^ 2 -13x + 42`

By definition, the factorization is a technique that consists in the mathematical decomposition of an expression, in the form of a product. Having said that, we can factor the given trinomial in the following way:

We look for two numbers that when multiplied give as result 42, and when summed give as result -13.

The numbers that meet these two conditions are -6 and -7 by:

`-6 * -7 = 42\\-6-7 = -13`

So, we have:

`(x-6) (x-7)`

Answer:

The binomials associated with the given trinomial are
`(x-6)` and
`(x-7)`.