Proof Prove that you can find a polynomial that passes through any three points and
Chapter 5, Problem 49(choose chapter or problem)
Prove that you can find a polynomial
\(p(x)=A x^{2}+B x+C\)
that passes through any three points \(\left(x_{1}, y_{1}\right),\left(x_{2}, y_{2}\right)\), and \(\left(x_{3}, y_{3}\right)\), where the \(x_{i}\) 's are distinct.
Text Transcription:
p(x)=A x^2+B x+C
(x_1, y_1),(x_2, y_2)
(x_3, y_3)
x_i
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