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.​