# How do you find the remainder when x^3-19x-30 is divided by x-3?

Sep 9, 2016

See explanation.

#### Explanation:

To find a remainder from division by a polynomial $x - a$ it is enough to substitute $a$ for $x$ in the polynomial.

Here:

$W \left(x\right) = {x}^{3} - 19 x - 30$

$W \left(3\right) = {3}^{3} - 19 \cdot 3 - 30 = 27 - 57 - 30 = - 60$