what is the factored form of 9x^+12x+4
To find the factored form of the quadratic expression 9x^2 + 12x + 4, we need to determine the pair of binomials that multiply together to give us the original expression.
First, we look at the coefficient of x^2, which is 9. We need to find two numbers that multiply to give 9, and also sum up to the coefficient of x, which is 12.
The two numbers that satisfy these conditions are 3 and 3.
Therefore, we can rewrite the expression as (3x + 2)(3x + 2).
Simplifying this further, we get (3x + 2)^2 as the factored form of 9x^2 + 12x + 4.