TR3.5

Polynomials

Exr0n 2021-12-26 Sun 14:21

1 In the context of linear algebra

  • From Axler Linear Algebra Done Right 3rd Ed. 2.A
  • #definition polynomial
    • \(p: F \to F\) with coefficients in \(F\) if there exist \(a_0, ..., a_m \in F\) such that \(p(z) = a_0 + a_1z + a_2z^2 + ... + a_mz^m\) ## Polynomial Degree #definition degree of a polynomial

  • Basically write it in standard form and find the highest index of the highest coefficient that isn't zero
  • degree of \(0\) = \(-\infty\)