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

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

 (iii)    p(x) = kx^2-\sqrt2 x + 1

Answers (1)

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Zero of polynomial   x - 1 is  1

If  x - 1  is factor of polynomial   p(x) = kx^2-\sqrt2 x + 1

Then,  p(1)  must be equal to zero 

Now,

\Rightarrow p(1) = k(1)^2 -\sqrt2(1) + 1

\Rightarrow p(1) =0

\Rightarrow k -\sqrt2 +1= 0

\Rightarrow k = -1+\sqrt2

Therefore,  value of k is -1+\sqrt2

Posted by

Gautam harsolia

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