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.
x^2 + bx + c when x = 0 f(x)=4 so c = 4
x^2 + bx + 4 when x = 1 the value is -10
1^2 + b + 4 = -10
b = -15
f(x) = x^2 -15x+4