Let `p(x)` be a polynomial function satisfying `p(x) +p(2x) =5x^2-18` then the value of `sum_(x=1)^5 p(x)=`

Find all polynomials p satisfying p(x+1)=p(x)+2x+1

Let p (x) be a polynomial with real coefficient and p (x)=p'(x) =x^(2)+2x+1. Find P (1).

Let p (x) be a polynomial with real coefficient and p (x)-p'(x) =x^(2)+2x+1. Find P (-1).

If P(x) is a polynomial such that P(x)+P(2x)=5x^2-18 , then lim_(xrarr3) (P(x))/(x-3) , is

If P(x) is a polynomial such that P(x)+P(2x)=5x^2-18 , then lim_(xrarr3) (P(x))/(x-3) , is

Let P(x) be a polynomial of degree 11 such that P(x)=(1)/(x+1), for x=0,1,2,...11. The value of P(12) is

A quadratic polynomial p(x) is given as p(x)=x^(2)-5x+6, then find the maximum value of (p(cos x))/(2)

P(x) be a polynomial of degree 3 satisfying P(-1) =10 , P(1) =-6 and p(x) has maxima at x = -1 and p(x) has minima at x=1 then The value of P(2) is

P(x) be a polynomial of degree 3 satisfying P(-1) =10 , P(1) =-6 and p(x) has maxima at x = -1 and p(x) has minima at x=1 then The value of P(1) is