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)`.

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)

Let a!=0 and p(x) be a polynomial of degree greater than 2. If p(x) leaves remainders a and - a when divided respectively, by x+a and x-a , the remainder when p(x) is divided by x^2-a^2 is (a) 2x (b) -2x (c) x (d) -x

Find the remainder when x^3+4x^2-7x+6 is divided by x-1.

Find the remainder when 2x^2+7x^2-x+8 is divided by x-1.

If the polynomial x^(4)-6x^(3)-16x^(2)+25x+10 is divided by another polynomial x^(2)-2x+k , the remainder comes out to be x+a , find k and a.

Find the remainder when x^3 + 3x^2 + 3x + 1 is divided by x+1

Let P(x) be a polynomial, which when divided by x-3 and x-5 leaves remainders 10 and 6 respectively. If the polynomial is divided by (x-3)(x-5) then the remainder is-

Let P(x) be a polynomial, which when divided by x-3 and x-5 leaves remainders 10 and 6 respectively. If the polynomial is divided by (x-3) (x-5) then the remainder is