# When 2x^3 + x^2 - 3 is divided by x + 1, what is the remainder?

Jul 16, 2017

$\text{remainder } = - 4$

#### Explanation:

$\text{using the "color(blue)"remainder theorem}$

$\text{the remainder when f(x) is divided by (x-a) is f(a)}$

$\Rightarrow \left(x + 1\right) \to a = - 1$

$\Rightarrow 2 {\left(- 1\right)}^{3} + {\left(- 1\right)}^{2} - 3 = - 4$

$\text{remainder } = - 4$