If `p=5-2sqrt(6)` Find `p^(2)+(1)/(p^(2))`

If p(x)= x^(2) - 2 sqrt(2) x + 1 , find p ( 2sqrt(2))

If p(x)=2+5x then find p(2)+p(-2)-p(1).

Find the degree of the following polynomials. 2sqrt(5) p^(4) - ( 8p^(3))/( sqrt(3)) + ( 2p^(2))/( 7)

If p = (3-sqrt(5))/(3+sqrt(5)) and q = (3+sqrt5)/(3-sqrt(5)) ,find the value of p^(2) + q^(2) .

If p(x) =2+5x , then find p(2)+p(-2) -p(1) .

(i) If p(x)=3x^(2)-5x+6 , find p(2) . (ii) If q(x)=x^(2)-2sqrt(2)x+1 , find q(2sqrt(2)) . (iii) If r(x)=5x-4x^(2)+3 find r(-1) .