`p(x)=x^(4)-3x^(2)+4x+5, g(x)=x^(2)-x+1`

Divide p(x) by g(x) and find the quotient q(x) and remainder r(x). p(x)=x^(4)+2x^(2)+3, g(x)=x^(2)+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^(4)+4x^(2)+2, " "g(x)=x^(2)+1

In each of the following cases (Q.9-12), find whether g(x) is a factor of p(x) : p(x)=x^(4)+3x^(2)-4, " " g(x)=x+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

Apply the division algorithm to find the quotient and remainder on dividing f(x)=x^4-3x^2+4x+5 by g(x)=x^2+1-x

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : p(x)=x^4-3x^2+4x+5,g(x)=x^2+1-x

check whether p(x) is a multiple of g(x) or not (i) p(x) =x^(3)-5x^(2)+4x-3,g(x) =x-2. (ii) p(x) =2x^(3)-11x^(2)-4x+5,g(x)=2x+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).

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^(4)+6x^(3)-4x^(2)+2x+1, " " g(x)=x^(2)+3x-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)=3x^(3)-4x^(2)+2x+5, " " g(x)=x+3