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

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

    (ii)    p(x) = 2x^2 + kx + \sqrt2

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Zero of polynomial   x - 1 is  1

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

Then,  p(1)  must be equal to zero 

Now,

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

\Rightarrow p(1) =0

\Rightarrow 2+k +\sqrt2= 0

\Rightarrow k = -(2+\sqrt2)

Therefore,  value of k is -(2+\sqrt2)

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