factor 4x^3+2x^2+2x and show work
To factor the expression 4x^3 + 2x^2 + 2x, we first look for common factors among the terms. In this case, the common factor is 2x.
4x^3 + 2x^2 + 2x
= 2x(2x^2 + x + 1)
Now, we will attempt to factor the quadratic expression 2x^2 + x + 1. Since this expression cannot be factored further, the factored form of 4x^3 + 2x^2 + 2x is:
2x(2x^2 + x + 1)