Question

Find the value of K, if x-1 is a factor of p(x) in each of the following cases: (i) p(x) = x²+x+k

Answer 1

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Answer 2

1 . x-1
   p(1)= 1²+1 +k
        =1+1+k
         = 2+k
       =  k=2

2. p(1)= 2(1)²+k(1) +√2
         =2 + k√2
        k = -2 + √2

3. p(1)=k(1)² - 2x+1
         k=√2-1

4. p(1)= k(1)²-3(1) +k
         = k + k =3
          =2k = 3
          = k = 3/2


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