factor the expression completely 1/4x + 11/4

To factor the expression 1/4x + 11/4 completely, both terms need to have a common denominator. The common denominator is 4x. Therefore, we need to rewrite the expression with the common denominator:

1/4x + 11/4 = 1/4x + (11x)/(4x)

Now that both terms have the same denominator, we can combine them:

(1 + 11x)/(4x)

Thus, the factored expression is (1 + 11x)/(4x).