Can we design a polynomial in \(x\), \(p(x)\), such that \(p(x)=p'(x)\)?

  1. What is the simplest polynomial in \(x\) you can think of and what is its derivative?

  2. What powers of \(x\) do you want the polynomial to include and what does this mean for the derivative?

You may want to use Desmos to plot the function \(p(x)\) as you construct it.