I need help explaining how to work this problem for my daughter...

What is the value of n so that the expression x² + 11x + n is a perfect square trinomial?
11
25
30.25 I know this is the answer but how
36

To determine the value of n so that the expression x² + 11x + n becomes a perfect square trinomial, we can follow these steps:

1. Identify the coefficient of the x term in the expression, which is 11.
2. Take half of the coefficient of the x term (11/2) and square it ((11/2)²) to determine the value to be added to the expression to make it a perfect square trinomial.

So, let's calculate (11/2)²:
(11/2)² = (11²)/(2²) = 121/4 = 30.25

Hence, the value of n that makes the expression x² + 11x + n a perfect square trinomial is 30.25.