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  • Find the value of k, if x - 1 is a factor of p(x) in the following case: (iv) kx ^2 - 3 x + k

3.(iv) the value of k, if x - 1 is a factor of p(x) in the following case:

   (iv)    p(x) = kx^2 -3 x + k

Answers (1)

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Zero of polynomial   x - 1 is  1

If  x - 1  is factor of polynomial   p(x) = kx^2 -3 x + k

Then,  p(1)  must be equal to zero 

Now,

\Rightarrow p(1) = k(1)^2 -3(1) + k

\Rightarrow p(1) =0

\Rightarrow k -3+k= 0

\Rightarrow k = \frac{3}{2}
Therefore,  value of k is  \frac{3}{2}

Posted by

Gautam harsolia

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