Which of the following is polynomial-
`(a) x^2/2-2`
`(b) sqrt2x-1`
`(c) x^2+3/sqrtx`
`(d) (x-1)/(x+1)`

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 is a zero of the polynomial x^5 - x^3 + 2x - 2 ? (1) 1 (2) -1 (3) 2 ( 4) -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 w.r.t.x (1) (3x +5) (ii) x^(-2) (iii) x^(3//2) (iv) sqrtx - (1)/(sqrtx) (v) (1)/((x +2))

Intergrate the following with respect to x (i) 3sqrt(x^5) (ii) sqrtx - (1)/(sqrtx) (iii) (sqrtx + (1)/(x) )^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

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 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