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 a x^2 + bx + c = 4 when x = 0 a = 1 ( since it is monic )
so c = 4
x^2 + bx + 4 = -10 when x = 1
1^2 + b (1) + 4 = -10
b = -15
y = x^2 -15x+4
+36916 a x^2 + bx + c = 4 when x = 0 a = 1 ( since it is monic )
so c = 4
x^2 + bx + 4 = -10 when x = 1
1^2 + b (1) + 4 = -10
b = -15
y = x^2 -15x+4
