No Need To Write
Algebra
Level
5
Let \(P(x)\) be a polynomial of degree 99 satisfying \(P(n)=n \cdot 99!\) for \(n= 1,2,3,\ldots,99\). If \(P(100)=0\), find the value of the coefficient of \(x^{98}\) in \(P(x)\).
Notation: \(!\) denotes the factorial notation. For example, \(8! = 1\times2\times3\times\cdots\times8 \).
by
Grant Bulaong