If `y` is a polynomial of degree `n` in `x` and first coefficient is 2 then `D^(n-1)(y)=``

Let f(x) be a polynomial of degree 2005 with leading coefficient 2006 such that f(n)=n for n=1,2,3,...,2005. The number of zeros at the ends of f(2006)-2006 is

Let P(x) be a polynomial of degree n with real coefficients and is non negative for all real x then P(x) + P^(1)(x)+ ...+P^(n)(x) is

If y^(2) = p (x) is a polynomial of degree 3 , then what is 2 "" (d)/(dx) [y^(3) (d^(2) y)/(dx^(2))] equal to

If y^(2)=P(x) is a polynomial of degree 3 then find the value of (d)/(dx)(y^(3)((d^(2)y)/(dx^(2))))

If n is a natural number and we define a polynomial p_(a)(x) of degree n such that cos n theta=p_(n)(cos theta), then The value of p_(n+1)(x)+p_(n-1)(x)=

Let P_(n)(u) be a polynomial is u of degree n. Then, for every positive integern, sin 2n x is expressible is

If f(x) is a polynomial of degree n such that f(0)=0,f(x)=(1)/(2),...,f(n)=(n)/(n+1) then the value of f(n+1) is

If x-c is a factor of order m of the polynomial f(x) of degree n(1

if the sum of coefficients in the expansion of (x-2y+3z)^(n) is 128 ,then find the greatest coefficients in the expansion of (1+x)^(n)