If `x=p-2` and `x/p-(x+1)/p=1` find `p`

If both x-2 and x-1/2 are factors of p x^2+5x+r , show that p=rdot

If both x-2 and x-1/2 are factors of p x^2+5x+r , show that p=rdot

If P (x) is polynomial of degree 4 such than P (-1)=P (1) =5 and P (-2) =P(0)=P (2) =2 find the maximum vaue of P (x).

If p = log 20 and q = log 25, find the value of x, if 2 log(x + 1) = 2p - q.

If (p+1) x+y=3 and 3y - (p-1)x=4 are perpendicular to each other, find the vlaue of p.

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

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

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

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

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