Question

if x-2k is a factor of f(x) =x^4-4k²x²+2x+3k+3 find k. ​

Answer 1

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Your solution :- ⬇⬇⬇

✴ p(x) =x⁴ -4k²x² +2x+3k+3

✴ f(x) = x-2k

✴ x= 2k

Putting value of x in polynomial p(x)

=> (2k)⁴ -4k²(2k)² +2(2k) +3k +3=0

=> 16k⁴ -16k⁴ +4k +3k +3=0

=> 7k +3=0

=> k= -3/7

$\huge\bold{Answer }$

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Answer 2

Answer:

k =-3/7

I hope right answer