R みよ

x=(5+Sqrt[17])/2 　の　●とき　x (x + 1) (x + 2) (5 - x) (6 - x) (7 - x)　を求めよ;

x^2-5*x+2=0 の　●とき　x (x + 1) (x + 2) (5 - x) (6 - x) (7 - x)　を求めよ;

https://www.youtube.com/watch?v=T2uvuXIOJdc

x (x + 1) (x + 2) (5 - x) (6 - x) (7 - x) を　x^2-5*x+2　で　わりざん したとき
                       商　と　余り　を　求めよ;

https://www.youtube.com/watch?v=dPmqEsChhi4
https://www.youtube.com/watch?v=NGF9sdxHttI

a(x)*(x (x + 1) (x + 2) (5 - x) (6 - x) (7 - x))+b(x)*(2 - 5 x + x^2)=1
          なる　a(x)∈Q[x],b(x)∈Q[x]を　求めよ;