Question
Factor the polynomial.
2x^3+4x^2+8x
2x^3+4x^2+8x
Answers
GPT 3.5
To factor the polynomial 2x^3 + 4x^2 + 8x, we can first factor out the greatest common factor, which in this case is 2x:
2x(x^2 + 2x + 4)
Next, we can check if the quadratic trinomial inside the parentheses can be factored further. Unfortunately, the quadratic trinomial x^2 + 2x + 4 cannot be factored further since it does not have any real roots. So, the factored form of the polynomial is:
2x(x^2 + 2x + 4)
2x(x^2 + 2x + 4)
Next, we can check if the quadratic trinomial inside the parentheses can be factored further. Unfortunately, the quadratic trinomial x^2 + 2x + 4 cannot be factored further since it does not have any real roots. So, the factored form of the polynomial is:
2x(x^2 + 2x + 4)