Question

Find k if x2-2x+k has x+1 is factor

Answer 1

Answer:

answer is 1

Explanation :

Let p(x) = x² - 2x + k. Then, As ( x - 1 ) Is a factor , p(1) = 0. Therefore the value of k is 1

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Answer 2

→  Let p(x) = x² - 2x + k.

   Now, as ( x +1 ) Is a factor of p(x)

  ∴ p(-1) = 0

     $x^{2} -2x+k$

    $(-1)^{2} -2(-1) + k =0$

     

   Hence,  the value of k is -3  ■