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Mathematics, 02.03.2021 16:30 drubio102004

13. x^4 + 4 is divisible by x^2 - 2x + k where k is a constant.
(a) Find the value of k.
(b) The degree of f(x) is 4. When f(x) is divided by x^4 + 4,the remainder is x^2 – 2x + k.
When f(x) is divided by x - 2, the remainder is -14/3
Someone claims that f(x)=0 has at least two distinct real roots. Do you agree? Explain your answer.​

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13. x^4 + 4 is divisible by x^2 - 2x + k where k is a constant.
(a) Find the value of k.
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