Question

Select the two binomials that are factors of this trinomial.

Answer 1

Answers are x+4 and also x+2

Answer 2

To split this trinomial into two binomials, let's try and find two numbers which add to 6 and multiply to 8. To do this, we can list all the factors of 8 and then choose which factors also add to 6.

Factors of 8: (1, 8), (2, 4)

1 + 8 = 9, meaning that 1 and 8 are not the factors we are looking for. However, 2 and 4 do add to 6. By combining these numbers which an x (so that we can produce the $x^2$ term at the front of the trinomial), we find the binomials:

$x+ 2$ and $x + 4$

The answer is x + 2 and x + 4.