Question

Factor each completely and show your work.
2n^2 + 5n + 2

Answer 1

To factor 2n^2 + 5n + 2 completely, we need to find two binomials that multiply to give us the original expression.

One possible method is to use the factoring by grouping method:

2n^2 + 5n + 2
= 2n^2 + 4n + n + 2
= 2n(n + 2) + 1(n + 2)
= (2n + 1)(n + 2)

Therefore, the factored form of 2n^2 + 5n + 2 is (2n + 1)(n + 2).