# Math Help - remainder theorem

1. ## remainder theorem

1. determine the value of k when $x^3+kx^2+2x-3$ is divided by $(x-1)$ and the remainder is 2

2. Originally Posted by william
1. determine the value of k when $x^3+kx^2+2x-3$ is divided by $(x-1)$ and the remainder is 2
$f(x) = x^3+kx^2+2x-3$

The root of the factor $(x-1)$ is $1$.

$f(1) = 1^3+k(1)^2+2(1)-3 =2 \rightarrow k=2$.