According to the Factor Theorem, is $(x + 3)$ a factor of the polynomial $P(x) = x^3 + 4x^2 + x - 6$?

Yes, because when you substitute $x = -3$, the result is 0.

No, because when you substitute $x = 3$, the result is not 0.

Yes, because when you substitute $x = 3$, the result is 0.

No, because when you substitute $x = -3$, the result is not 0.

When $2x^3 - 3x^2 + 4x - 1$ is divided by $(x - 1)$, the quotient is $2x^2 - x + 3$. Which equation correctly represents the division?

$2x^3 - 3x^2 + 4x - 1 = (x - 1)(2x^2 - x + 3) + 2$

$2x^3 - 3x^2 + 4x - 1 = (x - 1)(2x^2 - x + 3) - 2$

$2x^3 - 3x^2 + 4x - 1 = (x - 1)(2x^2 - x + 3)$

$2x^3 - 3x^2 + 4x - 1 = (x + 1)(2x^2 - x + 3) + 2$