Divide the polynomial `f(x)=14 x^3-5x^2+9x-1` by the polynomial `g(x)=2x-1` . Also, find the quotient and remainder.

Divide the polynomial f(x)=6x^3+11 x^2-39 x-65 by the poly-nomial g(x)=x^2-1+x . Also, find the quotient and remainder.

Divide the polynomial u(x)=9x^4-4x^2+4 by the poly-nomial v(x)=3x^2+x-1 . Also, find the quotient and remainder.

Divide the polynomial p(x)=x^4 -3x^2+4x+5 by the polynomial g(x)=x^2-x+1 and find quotient and remainder.

Divide the polynomial f(x)=30 x^4+11 x^3-82 x^2-12 x+48 by 3x^2+2x-4 . Also, find the quotient and 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^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^4-3x^2+4x+5,g(x)=x^2+1-x

On dividing the polynomial f(x)=x^3-3x^2+x+2 by a polynomial g(x) , the quotient q(x) and remainder r(x) where q(x)=x-2 and r(x)=-2x+4 respectively. Find the polynomial g(x) .

Divide the polynomial f(x)=3x^2-x^3-3x+5 by the polynomial g(x)=x-1-x^2 and verify the division algorithm.

Divide the first polynomial by the second polynomial in each of the following. Also , write the quotient and remainder: x^4-x^3+5x ,\ x-1 (ii) y^4+y^2,\ y^2,-2

Divide the first polynomial by the second polynomial in each of the following. Also , write the quotient and remainder: 3x^2+4x+5,\ x-2 (ii) 10 x^2-7x+8,\ 5x-3