If f(x) is a non-zero polynomial of degree four, having loca extreme points at `x=-1,0,1` then the set `S={x in R:f(x)=f(0)}` contains exactly

If f(x) is a non-zero polynomial of degree four, having local extreme points at x=-1,0,1 then the set S={x in R:f(x)=f(0)} contains exactly (a) four rational numbers (b) two irrational and two rational numbers (c) four irrational numbers (d) two irrational and one rational number

If f(x) is a non-zero polynomial of degree four, having local extreme points at x=-1,0,1 then the set S={x in R:f(x)=f(0)} contains exactly (a) four rational numbers (b) two irrational and two rational numbers (c) four irrational numbers (d) two irrational and one rational number

Suppose f(x) is a polynomial of degree four , having critical points at - 1,0,1. If T = (x in R|f (x) = f(0)} , then the sum of sqaure of the elements of T is .

Let f(x) be an non - zero polynomial of degree 4. Extremum points of f(x) are 0,-1,1 . If f(k)=f(0) then,

Let f(x) be a polynomial of degree four having extreme values at x =1 and x=2. If underset(xrarr0)lim[1+(f(x))/x^2] =3, then f(2) is equal to

Let f(x) be a polynomial of degree four having extreme values at x = 1 and x = 2. If underset(x to 0)lim[1+(f(x))/(x^(2))]=3 , then f(2) is equal to-

Let f(x) be a polynomial of degree four having extreme values at x=1 and x=2. If lim_(x to 0)(1+(f(x))/(x^(2)))=3, then f(2) is equal to

Let f(x) be a polynomial of degree four having extreme values at x=1 and x=2. lim_(xrarr0)[1+f(x)/x^2]=3 ,then f(2) is equal to:

Let f(x) be a polynomial of degree four having extreme values at x=1 and x=2. IF lim_(xto0) [1+(f(x))/x^2]=3 , then f(2) is equal to