Let `P(x)` be a polynomial such that `P(1) = 1 and (p(2x))/(p(x+1))=8 - (56)/(x+7)` for all real x for which both sides are defined. The degree of P(x) is

Let P(x)=P(0)+P(1)x+P(2)x^(2) be a polynomial such that P(-1)=1 ,then P(3) is :

If p(x) is a polynomial such that p(x^2+1)={p(x)}^2+1 and p(0)=0 then p^1(0) is equal to

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

Let P(x) be a polynomial of degree 11 such that P(x) = (1)/(x + 1) for x = 0, 1, 2, 3,"…."11 . The value of P(12) is.

Let P(x) be a polynomial of degree 11 such that P(x) = (1)/(x + 1) for x = 0, 1, 2, 3,"…."11 . The value of P(12) is.

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

Let P be a non-zero polynomial such that P(1+x)=P(1-x) for all real x, and P(1)=0. Let m be the largest integer such that (x-1)^m divides P(x) for all such P(x). Then m equals

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

Question Number 2 Let P(x) be a polynomial with real coefficients such that P(sin2 ) P(cos2 x). for all re [0, ?/2]. Consider the following statements: I. P(x) is an even function II. P(x) can be expressed as a polynomial in (2x - 1)2. III. P(x) is a polynomial of even degree Then Bonly I and II are tue D. all are true A. all are false C only II and III are true

Question Number 2 Let P(x) be a polynomial with real coefficients such that P(sin2 ) P(cos2 x). for all re [0, ?/2]. Consider the following statements: I. P(x) is an even function II. P(x) can be expressed as a polynomial in (2x - 1)2. III. P(x) is a polynomial of even degree Then Bonly I and II are tue D. all are true A. all are false C only II and III are true