When we look at the trinomial, there is no number (coefficient) in front of x² , so we know that it is a simple trinomial. All you have to do in a simple trinomial is to find two numbers that not only add up to the b term, but multiply to the c term.
In this trinomial, the b term is 13 , so you need to find two numbers that add up to 13 . That could be
- [tex]5 \: an d \: 8[/tex]
- [tex]6 \: and \: 7[/tex]
- [tex]11 \: and \: 2[/tex]
and so on. But these two numbers need to multiply to get the c term. In this case, it's 42 . So what two numbers add up to 13 and multiply to 42 ? The answer is 6 and 7 .
[tex]6 + 7 = 13[/tex]
and
[tex]6 \times 7 = 42[/tex]
After this, all you need to do is put this in binomial form, so take an x , and add your first number
[tex](x + 6)[/tex]
