If `p(x)=x^2-x+1` then find the vale of `p(1)`

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

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

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

If x=-1/2 is a zero of the polynomial p(x)=8x^3-a x^2-x+2, find the value of a

If p(x) =x^(2)-4x+3, then evaluate p(2) -p(-1)+p((1)/(2)) .

If (1+x+x^2++x^p)^n=a_0+a_1x+a_2x^2++a_(n p)x^(n p), then find the value of a_1+2a_2+3a_3+ddot+n pa_(n p)dot

If (x+1) and (x-1) are factors of p(x)=ax^3+x^2-2x+b find the values of a & b .

The random variable X can the values 0, 1, 2, 3, Give P(X = 0) = P(X = 1)= p and P(X = 2) = P(X = 3) such that sum p_i x_i^2=2sum p_i x_i then find the value of p

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