Find the value of k, if x -1 is a factor of p | vedclass

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Question

Here $\quad p ( x )= kx ^{2}-3 x + k$ and $g ( x )= x -1$

For $g(x)$ be a factor of $p(x), p(1)$ should be equal to $0 .$

since $\quad p (1)= k

Vedclass · Accepted Answer

$\frac{3}{2}$

Vedclass · Answer

Here $\quad p ( x )= kx ^{2}-3 x + k$ and $g ( x )= x -1$

For $g(x)$ be a factor of $p(x), p(1)$ should be equal to $0 .$

since $\quad p (1)= k (1)^{2}-3(1)+ k = k -3+ k =2 k -3$

$	herefore$                   $2 k-3=0 \quad \Rightarrow k=\frac{3}{2}$

Find the value of $k$, if $x -1$ is a factor of $p(x)$ in this case : $p(x)=k x^{2}-3 x+k$

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