Perform, in the polynomial ring Z / ( 7 ) [ X ] {\displaystyle {}\mathbb {Z} /(7)[X]} , the division with remainder P T {\displaystyle {}{\frac {P}{T}}} , where P = 5 X 4 + 3 X 3 + 5 X 2 + 3 X + 6 {\displaystyle {}P=5X^{4}+3X^{3}+5X^{2}+3X+6} and T = 3 X 2 + 6 X + 4 {\displaystyle {}T=3X^{2}+6X+4} .
![{\displaystyle {}\mathbb {Z} /(7)[X]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6bc4f546d7ed887a48f3ff75a8ec63dc2e27c42e)
