f(x) is a monic polynomial such that f(0)=4 and f(1)=-10. If f(x) has degree 2, what is f(x)? Express your answer in the form ax^2+bx+c, where a, b, and are real numbers.
+36916 ax^2+bx+c, when x = 0 then c = 4
Since it is 'monic' we know a = 1
y = x^2 +bx + 4 now when x= 1
10= 1^2 + b + 4 shows b = 5
y = x^2 + 5x + 4
