Question

Factor each completely and show your work.
2x^2 + 11y + 5

Answer 1

To factor 2x^2 + 11y + 5 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:

2x^2 + 11y + 5
= 2x^2 + 10y + y + 5
= 2x(x + 5) + y(x + 5)
= (2x + y)(x + 5)

Therefore, the factored form of 2x^2 + 11y + 5 is (2x + y)(x + 5).