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),
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?
If you divide by you will get a quotient and a remainder, both polynomials. Multiplying the divisor by the quotient and adding the remainder should give the original dividend and the provided equation has this form. Thus, is the quotient and the remainder when dividing by