# How do you find the remainder when x^3+3x^2+3x+1 is divided by 5+2x?

Jul 4, 2017

Remainder is $- 3.375$

#### Explanation:

${x}^{3} + 3 {x}^{2} + 3 x + 1$

$2 x + 5 = 0 \mathmr{and} 2 x = - 5 \mathmr{and} x = - \frac{5}{2} = - 2.5$

Putting $x = - \frac{5}{2}$ in the equation we get remainder $\left(R\right)$

$R = {\left(- 2.5\right)}^{3} + 3 {\left(- 2.5\right)}^{2} + 3 \left(- 2.5\right) + 1 = - 3.375$ [Ans]