On dividing `x^(3)-3x^(2)+x+2` by a polynomial `g(x)` the quotient and remainder were `x-2` and `-2x+4`, respectively. Find `g(x)`.

Find the quotient and the remainder when 10 - 4x + 3x^(2) is divided by x - 2.

Divide the polynomial 2x ^(4) - 4x ^(3) - 3x -1 by (x-1) and find its quotient and remainder.

If 8x^(3) - 14x^(2) - 19x - 8 is divided by 4x+ 3 then find the quotient and the remainder.

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

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

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)-5x+6,g(x)=2-x^(2)

Find the quotient and the remainder when 5x^(5) -13x^(4) -15x^(2) -20 is divided by x-3

Find the quotient and remainder when -7+3x-2x^(2) + 5x^(3) s divided by -1+4x using synthetic division.

Find the quotient and remainder of the following : ( 8x^(3) -1) div ( 2x - 1)