- #1

octohydra

- 7

- 0

[tex]a_0 + a_1 x + a_2 x^2 + a_3 x^3+a_4 x^4+ \cdots + a_n x^n[/tex]

I can rewrite the polynomial as a combination of multiplication and addition operators (instead of exponents) that a computer tends to like as such:

[tex]a_0 + x \left( a_1 + x \left( a_2 + x \left( a_3 + x \left(a_4 + \cdots + a_n x \left)\right. \cdots \right)\right)\right)\right)[/tex]

- Does this process have a name?
- Is there an algorithm to do this?
- Is there an implementation of this on Sage or MATLAB/Octave or Mathematica?