Let `P(x)` be a polynomial with real coefficients such that `P(sin^2x) = P(cos^2x)` for all `x in [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

Let P(x) be a polynomial with real coefficients such that P(sin^2x) = P(cos^2x) , for all xϵ[0,π/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

Let P(x) be a polynomial with real coefficients such that P(sin^2x) = P(cos^2x) , for all xϵ[0,π/2] . Consider the following statements.Then: 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 .

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

uestion Number : 2 et P(r) be a polynomial with real coefficients such that P(sin2 x)P(cosx). for all e [0, ?/2]. Consider the following statements: I. P(x) is an even function. IL P(t) can be expressed as a polynomial in (2r III P() is a polynomial of even degree 1)2. Then only I and II are true all are true A. all are false B. C. only II and III are true D.

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).

Let P(x)=x^(2)+(1)/(2)x+b and Q(x)=x^(2)+cx+d be two polynomials with real coefficients such that P(x)Q(x)=Q(P(x)) for all real x. Find all the real roots of P(Q(x))=0

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.