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 c are real numbers.
For a 2nd degree monic polynomial then a = 1, by definition.
If f(0) = 4 then that means c = 4
With f(1) = 10 we have 1 + b + 4 = 10 so b = 5
f(x) = x^2 + 5x + 4
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f(x) is a monic polynomial such that f(0)=0 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 c are real numbers.
f(x) = 2.12x² + 7,844x - 0.0043
a = 2.12; b = 7.844; c = -0.0043
f(0) = -0,0043
f(1) = 9.9597
asinus :- ) !