uestion Number : 2 et P(r) be a polynomial with real coefficients such that P(sin2 x)P(cosx). for all e [0, π/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.

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

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 .

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).

p(x) is a polynomial of degree 1 and q(x) is a polynomial of degree 2. What kind of the polynomial p(x) xx q(x) is ?

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

If 2 and -2 are the zeroes of the polynomial p(x). write the polynomial p(x)