What do you know about polynomials?

Calculus Level 4

There are \(n\) polynomials \(\left(P_1(x)..... P_n(x)\right)\) satisfying the following two equations:

\[\begin{align} 8 \cdot P(x) &= (P'(x))^2\cdot P''(x) \\ P(0) &= 4. \end{align}\]

Find the value of \(\displaystyle \sum_{i=1}^n P_i(1).\)

×

Problem Loading...

Note Loading...

Set Loading...