Question 34The remainder $R$ obtained by dividing $x^{100}$ by $x^2-3x+2$ is a polynomial of degree less than $2.$ Then $R$ may be written as:$2^{100}-1$$2^{100}(x-1)-(x-2)$$2^{100}(x-3)$$x(2^{100}-1)+2(2^{99}-1)$$2^{100}(x+1)-(x+2)$