# How do you find the remainder when x^3+2x^2-19x-20 is divided by x-1?

Apr 29, 2018

Remainder is $- 36$

#### Explanation:

If we divide a polynomial $f \left(x\right)$ by $\left(x - h\right)$, then the remainder

is f(h) ; f(x)= x^3+2 x^2 -19 x - 20 ; h=1

$f \left(1\right) = {1}^{3} + 2 \cdot {1}^{2} - 19 \cdot 1 - 20 = - 36$

Remainder is $- 36$ [Ans]