Is this polynomial familiar? - II
Algebra
Level
2
\(f(x)\) is a polynomial with integer coefficients. We have,
\(f(1)=1\)
\(f(2)=4\)
\(f(3)=9\)
\(f(4)=16\)
\(f(5)=25\)
\(f(6)=36\)
\(f(7)=49\)
\(f(8)=64\)
\(f(9)=81\)
\(f(10)=100\)
How many functions \(f(x)\) satisfies the above conditions?
Details and assumptions:
- If your answer is infinity, enter \(0\) as the answer.
by
Shenal Kotuwewatta