If `p(x) =(x-1)/(x+1)` then find the value of `p(p(x))`

if p = (4xy)/(x + y) , find the value of (p+2x)/(p-2x) + (p+2y)/(p-2y) .

If 1 is a zero of the polynomial p(x)=a x^2-3(a-1)x-1 , then find the value of a .

The random variable X can take only the values 0, 1, 2. Given that P(X=0) = P(X= 1) = p and E(X^2) = E(X) , then find the value of p

Let p(x) be a polynomial of degree 4 having extremum at x = 1,2 and lim_(x->0)(1+(p(x))/x^2)=2. Then find the value of p(2).

If P(x)=x^(3)-1 then the value of P(1)+P(-1) is

Let f(x)= x^(3) + x + 1 and P(x) be a cubic polynomial such that P(0) = -1 and roots of f(0) = 1 ; P(x) = 0 are the squares of the roots of f(x) = 0 . Then find the value of P(4).

If 1 is a zero of the polynomial p(x) = ax^2 — 3 (a — 1) x - 1 , then find the value of a.

f(x) = (5-x^(p))^((1)/(2)) . If the value of f(f(2)) = 2 , what is the value of p ?

Let a,b,c, d be the roots of x ^(4) -x ^(3)-x ^(2) -1=0. Also consider P (x) =x ^(6)-x ^(5) -x ^(3) -x ^(2) -x, then the value of p (a) +p(b) +p(c ) +p(d) is equal to :

p (x)=7x+4 s (x)=7-p (x) What is the value of s (-1) ?