Which one of the following is a polynomial?
(A) `(x^(2))/(2)-(2)/(x^(2))`
(B) `sqrt(2x)-1`
(C) `x^(2)+(3x^((3)/(2)))/(sqrt(x)),`
(D) `(x-1)/(x+1)`

Which of the following are polynomials ? (i) x^(2)-3x+1 " " (ii) x^(2)+5x+2 " "(iii) x-(1)/(y) " " (iv) x^(7)+8 " " (v) x^(3)+sqrt(x)-2 (vi) sqrt(2)x^(2)+x-1 " " (vii) (3x-1)(x+5) " " (viii) (x-(3)/(x))(x+2) " " (ix)2x^(2)-1 (x) x+(1)/(sqrt(x))+2

Which of the following expressions are not polynomials? x^(2)+2x^(-2) (ii) sqrt(ax)+x^(2)-x^(3)3y^(3)-sqrt(5y)+9( iv) ax^((1)/(2))+ax+9x^(2)+43x^(-2)+2x^(-1)+4x+5

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))

Differentiate the following function (sqrt(x^(2)+1)+sqrt(x^(2)-1))/(sqrt(x^(2)+1)-sqrt(x^(2)-1))

Degree of the polynomial (x^(2)-sqrt(1-x^(3)))^(4)+(x^(2)+sqrt(1-x^(3)))^(4) is

Which of the following equations has the sum of its roots as 3?( a) x^(2)+3x-5=0 (b) -x^(2)+3x+3=0(c)sqrt(2)x^(2)-(3)/(sqrt(2))x-1=0(d)3x^(2)-3x-3=0

Differentiate each of the following functions with respect to x:( i) sin^(-1)(2x sqrt(1-x^(2))),-(1)/(sqrt(2))

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

None of these int(2x)/((1-x^(2))sqrt(x^(4)-1))dx is equal to :( A) sqrt((x^(2)-1)/(x^(2)+1))+c(B)sqrt((x^(2)+1)/(x^(2)-1))(C)sqrt(x^(4)+1)(D) None of these

Suppose that x < 0. Which of the following is equal to |2x-sqrt((x-2)^2)| (a) x-2 (b) 3x-2 (c) 3x+2 (d) -3x+2