In this case we have the following trinomial:
[tex]x ^ 2 -13x + 42[/tex]
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:
[tex]-6 * -7 = 42\\-6-7 = -13[/tex]
So, we have:
[tex](x-6) (x-7)[/tex]
Answer:
The binomials associated with the given trinomial are[tex](x-6)[/tex] and [tex](x-7)[/tex].
