If `p(x)=(x-1)(x+1)`then the value of `p(0)+p(1)` is

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

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 :

Consider P(x) to be a polynomial of degree 5 having extremum at x=-1,1, and ("lim")_(xvec0)((p(x))/(x^3)-2)=4 . Then the value of [P(1)] is (where [.] represents greatest integer function)___

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

For a binomial variate X , if n = 3 and P(X =1) = 12 P(X =3) , then the value of p is

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

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

Let for a != a_1 != 0 , f(x)=ax^2+bx+c , g(x)=a_1x^2+b_1x+c_1 and p(x) = f(x) - g(x) . If p(x) = 0 only for x = -1 and p(-2) = 2 then the value of p(2) .

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 lim_(xto0) (p sin2x+(1-cos2x))/(x+tanx)=1 , then the value of p is___________.