To calculate the Cyclic Redundancy Codes $($CRC$),$ we use binary polynomials. Please remember

that polynomial arithmetic is just like the XOR operation:

$1+1=1-1=0$

$1+0=1-0=1$

$0+1=0-1=1$

$0+0=0-0=0$

Complete the following polynomial operations and give your answer in both binary and

polynomial forms. Please show your work.

$(5$ points $)\frac{x^5+x^4+x+1}{x^3+x+1}=$