If `P(x)=x^4+1`then find `P(2)-P(-2)`

Let X be a B(2, p) and Y be an independent B(4, p). If P(X ge 1)=5//9 , then find P(Y ge1) .

If P(n ,4)=20 x P(n ,2),find n.

If p(x)=4x^(2)-3x+6 find : (i) p(4) (ii) p(-5)

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

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(x)=x^(3)+2x^(2)+x find : (i) p(0) (ii)p(2)

If p(x)=x^(5)+4x^(4)-3x^(2)+1 " and" g(x)=x^(2)+2 , then divide p(x) by g(x) and find quotient q(x) and remainder r(x).

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

Given P(x) =x^(4) +ax^(3) +bx^(2) +cx +d such that x=0 is the only real root of P'(x) =0 . If P(-1) lt P(1), then in the interval [-1,1]

If (1-x+x^(2))^(4)=1+P_(1)x+P_(2)x^(2)+P_(3)x^(3)+...+P_(8)x^(8) , then prove that : P_(2)+P_(4)+P_(6)+P_(8)=40 and P_(1)+P_(3)+P_(5)+P_(7)=-40 .