Perform, in the polynomial ring Q [ X ] {\displaystyle {}\mathbb {Q} [X]} , the division with remainder P T {\displaystyle {}{\frac {P}{T}}} , where P = 3 X 4 + 7 X 2 − 2 X + 5 {\displaystyle {}P=3X^{4}+7X^{2}-2X+5} , and T = 2 X 2 + 3 X − 1 {\displaystyle {}T=2X^{2}+3X-1} .
![{\displaystyle {}\mathbb {Q} [X]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/05854fb7f5090d865105d7297fa178c8eb802fbf)
