Question

Factor 1/4b^2 + 3b + 9

Answer 1

I'd probably go with (b/2 + 3)^2

Answer 2

We need to find two numbers that multiply to give 9 x 1/4b^2 and add up to 3b.

First, we factor out the common factor of 1/4:

1/4(b^2 + 12b + 36)

The expression inside the parentheses is the square of the binomial (b+6)^2.

So, 1/4(b+6)^2 is the fully factored form of the original expression.