p (x ) को g (x ) से भाग दीजिए , जबकि `p(x)=x^(4)+1,g(x)=x+1.`

Using the remainder theorem , find the remainder , when p (x) is divided by g (x) , where p(x)=x^(3)-2x^(2)-8x-1,g(x)=x+1 .

Apply the division algorithm to find quotient and remainder on dividing p (x) by g (x) as given below : p(x)=x^4-3x^2+2x+5, g(x)=x-1 .

Apply the division algorithm to find quotient and remainder on dividing p (x) by g (x) as given below : p(x)= x^3-6x^2+2x-4,g(x)=x-1 .

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following: (i) p(x) = x^3 - 3x^2 + 5x - 3, g(x) = x^2 - 2 (ii) p(x) = x^4 - 3x^2 + 4x - 5, g(x) = x^2 + 1 - x (iii) p(x) = x^4 - 5x + 6, g(x) = 2 - x^2

Divide p(x) by g(x), where p(x) = x+3x^(2) -1 and g(x) = 1+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)+1, " "g(x)=x-1

Using the remainder theorem , find the remainder , when p (x) is divided by g (x) , where p(x)=x^(3)-6x^(2)+2x-4,g(x)=1-(3)/(2)x .

Check whether g(x) is a factor of p(x) by dividing the first polynomial by the second polynomial: (i) p(x) = 4x^(3) + 8x + 8x^(2) +7, g(x) =2x^(2) -x+1 , (ii) p(x) =x^(4) - 5x -2, g(x) =2-x^(2) , (iii) p(x) = 13x^(3) -19x^(2) + 12x +14, g(x) =2-2x +x^(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