4.2 Division (in class) – long division

Find the quotient of [math]\dfrac{f(x)}{g(x)}[/math] where [math]f(x)=2x^5-4x^4+6x^3-11x^2-2x+6[/math] and [math]g(x)=x^2-2x[/math].

Find the remainder of [math]\dfrac{f(x)}{g(x)}[/math] where [math]f(x)=x^5+3x^4+x^3+2x^2+x-5[/math] and [math]g(x)=x^3-x+1[/math].

Find the quotient of [math]\dfrac{f(x)}{g(x)}[/math] where [math]f(x)=x^4+4x^3+5x^2-16x-36[/math] and [math]g(x)=x^2+4x+9[/math].

Find the remainder when [math](x^2-4x+7)^2[/math] is divided by [math](x-2)^2[/math]. (Hint: Completing the square)

Find the quotient of [math]\dfrac{f(x)}{g(x)}[/math] where [math]f(x)=-4x^3+4x^2+5[/math] and [math]g(x)=(x-2)^2[/math].