If `p(x)=(x-1)(x+1)`, then the value of `p(2)+p(1)-p(0)` 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 :

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

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)___

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(2) is (a) -15 (b) -16 (c) -17 (d) -22 (c) -17 (d) -22

If alpha is the only positive root of (2^(2014)-1)x^2+(2-2^(2014))x-1=0 . Then the value of (alpha^(2014)-1)p^2+(1-alpha^(2015))p q+1 is equal to (a) 1 (b) 0 (c) pq (d) p^2+p q+1

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 alpha,beta roots of x^(2)-6p_(1)x+2=0,beta,gamma are roots of x^(2)-6p_(2)x+3=0and gamma,alpha are roots of equation x^(2)-6p_(3)x+6=0 where p_(1),p_(2),p_(3) are positive then The values of p_(1),p_(2),p_(3) respectively are

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