A question in my textbook asks me to show that the first four Hermite polynomials form a basis of P3.(adsbygoogle = window.adsbygoogle || []).push({});

I know how to do the problem, but I don't really understand what is behind the scenes.

Why can we use the coefficients of a polynomial as a column vector? I don't really know how to ask the question (that means I'm probably really lost, haha).

Also, how do you say P3 (like if I was speaking to someone).

What exactly is polynomial space? Can it be visualized? I'm confused.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Polynomials and finding a basis

Loading...

**Physics Forums | Science Articles, Homework Help, Discussion**