The expression `(x+((x^3-1)^(1/2))/2)^5+""(x-((x^3-1)^(1/2))/2)^5` is a polynomial of degree a. 5 b. `6` c. `7` d. `8`

The expression (sqrt(2x^2+1)+sqrt(2x^2-1))^6+(2/((sqrt(2x^2+1)+sqrt(2x^2-1))^))^6 is polynomial of degree 6 b. 8 c. 10 d. 12

If a^2+b^2+c^2=-2a n df(x)= |a+a^2x(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c^2)x(1+a^2)x(1+b^2)x1+c^2x| , then f(x) is a polynomial of degree 0 b. 1 c. 2 d. 3

Evaluate lim_(xtooo) ((7x^(2)+1)/(5x^(2)-1))^((x^(5))/(1-x^(3))).

Solve : (5x+2)(5x-3)(2x-1)(2x+1)=2.

The equation (x^2+x+1)^2+1=(x^2+x+1)(x^2-x-5) for x in (-2,3) will have number of solutions. a. 1 b. 2 c. 3 d. 0

If the function f(x)=((128 a+a x)^(1/8)-2)/((32+b x)^(1/5)-2) is continuous at x=0 , then the value of a/b is (A) 3/5f(0) (B) 2^(8/5)f(0) (C) (64)/5f(0) (D) none of these

Let f(x) be the fourth degree polynomial such that f^(prime)(0)=-6,f(0)=2 and (lim)_(x->1)(f(x))/((x-1)^2)=1 The value of f(2) is a. 3 b. 1 c. 0 d. 2

The degree of polynomial 5x^(2) y+3x^(3) y^(2) +3xy+7 is …………

The number of irrational roots of the equation (4x)/(x^2+x+3)+(5x)/(x^2-5x+3)=-3/2 is (a) 4 b. 0 c. 1 d. 2