If `p(x)=x^2-x+1`, find the value of `p(1)`.

If x=-1/2 is a zero of the polynomial p(x)=8x^3-a x^2-x+2, 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 (x+1) and (x-1) are factors of p(x)=ax^3+x^2-2x+b find the values of a & b .

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 x=1(1)/(2) is a solution of the equation 2x^(2)+px-6=0 , find the value of 'p'.

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

If alpha,beta are zeroes of polynomial f(x) =x^(2)-p(x+1)-c , then find the value of (alpha+1)(beta+1) .

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

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