Factor the polynomial Completely. 12x2+12x+3
To factor the polynomial completely, we first look for the greatest common factor of all the terms. In this case, all terms are divisible by 3, so we can factor out a 3:
3(4x^2 + 4x + 1)
Next, we factor the quadratic expression inside the parentheses. The quadratic expression can be factored as:
3(2x + 1)(2x + 1)
Putting it all together, the polynomial can be factored completely as:
3(2x + 1)^2