x^(5)-2x^(3)+x+sqrt(3)

Which of the following expressions are polynomials ? In case of a polynomial , write its degree. (i) x^(5)-2x^(3)+x+sqrt(3) (ii) y^(3)+sqrt(3)y (iii) t^(2)-(2)/(5)t+sqrt(5) (iv) x^(100)-1 (v) (1)/(sqrt(2))x^(2)-sqrt(2)x+2 (vi) x^(-2)+2x^(-1)+3 (vii) 1 (viii) (-3)/(5) (ix) (x^(2))/(2)-(2)/(x^(2)) (x) root(3)(2)x^(2)-8 (xi) (1)/(2x^(2)) (xii) (1)/(sqrt(5))x^(1//2)+1 (xiii) (3)/(5)x^(2)-(7)/(3)x+9 (xiv) x^(4)-x^(3//2)+x-3 (xv) 2x^(3)+3x^(2)+sqrt(x)-1

Factorise : 2sqrt(3)x^(2) + x - 5sqrt(3)

Find the derivatives of the following : G(x)=(sqrt(2)x^(3)+x^(5))(sqrt(3)x^(2)+1/5x^(5))

sqrt(5)x^(2)+2x-3sqrt(5)

2sqrt(3)x^(2)-5x+sqrt(3)

2sqrt(3)x^(2)+x-5sqrt(3)=0

2sqrt(3)x^(2)+x-5sqrt(3)

Find y ' , if (a) y=5x^(2//3)-3x^(5//2)+2x^(-3) (b) y=(a)/(3sqrt(x))^(2)-(b)/(x^(3)sqrt(x) (a,b constants )