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## Homework Statement

A polynomial p(x) is such that p(0)=5, p(1)=4, p(2)=9 and p(3)=20. the minimum degree it can have

a) 1 b) 2 c) 3 d) 4

## Homework Equations

## The Attempt at a Solution

a) Not Possible can't connect these points using straight line

b) Not even possible to connect these points using 2 degree polynomial

I'm confused with options c) and d)