# Thread: [SOLVED] Find the quotient and remainder in the division of polynomials.

1. ## [SOLVED] Find the quotient and remainder in the division of polynomials.

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?

2. Originally Posted by driverfan2008
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)?
yes

But then where do I get q(x) and r(x) from?
q(x) is the quotient of the said division, r(x) is the remainder

3. Originally Posted by driverfan2008
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?
If you divide $\displaystyle b(x)$ by $\displaystyle a(x),$ you will get a quotient and a remainder, both polynomials. Multiplying the divisor $\displaystyle a(x)$ by the quotient and adding the remainder should give the original dividend $\displaystyle b(x),$ and the provided equation has this form. Thus, $\displaystyle q(x)$ is the quotient and $\displaystyle r(x)$ the remainder when dividing $\displaystyle b(x)$ by $\displaystyle a(x).$

4. Thanks very much Jhevon and Reckoner I understand now