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 = 6 X 4 + 2 X 3 + 4 X 2 + 2 X + 5 {\displaystyle {}P=6X^{4}+2X^{3}+4X^{2}+2X+5} and T = 5 X 2 + 3 X + 2 {\displaystyle {}T=5X^{2}+3X+2} .
![{\displaystyle {}\mathbb {Z} /(7)[X]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6bc4f546d7ed887a48f3ff75a8ec63dc2e27c42e)
