It asks,

for the following find polynomials q(x) and r(x) such that b(x) = q(x)a(x) + r(x) where r(x) =0 or deg r(x) < reg a(x),

$\displaystyle 1. a(x) = x^2-2x+4, b(x)=2^5-x^4+3x^3-2x+1$

What is it asking me to do? Does it want me to divide a(x) into b(x)? But then where do I get q(x) and r(x) from?

I know how to do polynomials but I just don't understand what this question is asking me to do?