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