2.If `p(x)=x^(3)+x^(2)-1` then find `P(-2)`.

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

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

Divide p(x) by g(x) in each of the following questions and find the quotient q(x) and remainder r(x) : p(x)=x^(3)+6x^(2)-1, " " g(x)=x^(2)+2

In each of the following cases (Q.9-12), find whether g(x) is a factor of p(x) : p(x)=x^(3)-x^(2)+x-1, " " g(x)=x-1

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).

In each of the following cases (Q.9-12), find whether g(x) is a factor of p(x) : p(x)=3x^(3)+5x^(2)-7x-1, " " g(x)=x-1

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

BY Remainder theorem , find the remainder when p(x) is divided by g(x) (i) p(x) =x^(3)-2x^(2)-4x-1, g(x)=x+1 (ii) p(x) =x^(3)-3x^(2)+4x+50, g(x) =x-3

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).