Question
Factor the polynomial Completely. 12x2+12x+3
Answers
Answered by
GPT 3.5
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
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