Mathematics

Mathematics

Problem

Let p(x)=ax2+bx+cp(x)=ax^2+bx+c be a quadratic polynomial such that p(0)=1,  p(1)=3p(0)=1,\; p(1)=3 and p(2)=9p(2)=9. What is the value of p(3)p(3)? a) 1818 b) 1919 c) 2525 d) 2727

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