Question

A polynomial P(x) satisfies the following p(1)=p(3)=p(5)=1, p(2)=p(4)=1 The minimum degree of such polynomial is

Answer 1

When we have an initial condition on their basis have to determine the minimum degree of polynomial then you can use the formula,

P(n + 1) – p(n)

This will help in determining the outcome with the help of their differentiation.

You can consider it as the quadratic polynomial to satisfy the equation.