SOLUTION: find k such that f(x) = x^4 - kx^3 + kx^2 + 1 has the factor x+2
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Question 715812
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find k such that f(x) = x^4 - kx^3 + kx^2 + 1 has the factor x+2
Answer by
jsmallt9(3758)
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x+2 cannot possibly be a factor of f(x) no matter what value k has. If x+2 was a factor then -2 would be a root. But the only possible rational roots of f(x) are 1 and -1.
There must be a mistake in what you posted.