" (i) "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)

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

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

Differentiate the following function : (i) (x^(2) - 5x + 6)(x-3) , (ii) (sqrt(x) + 1/(sqrt(x)))^(2) , (iii) (3x^(2) + 2x + 5)/(sqrt(x))

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

Which of the following quadratic expression can be expressed as a product of real linear factors? (a) x^(2)-2x+3 (b) 3x^(2)-sqrt2x-sqrt3 (c) 2x^(2)+3x-4 (d) sqrt2x^(2)-sqrt5x+3