5.4 Homework Problems: Polynomial Division
1. Divide the following polynomials
a. [latex]\frac{8y^3-16y^2+24y}{8y}[/latex]
b. [latex]\frac{110x^4-121x^3+11x^2}{11x}[/latex]
c. [latex]\frac{x^2-2x-20}{x+4}[/latex]
d. [latex]\frac{2x^3+7x^2+10x-6}{2x+3}[/latex]
e. [latex]\ \frac{x^3-9x^2+8x-3}{x-8}[/latex]
f. [latex]\frac{6x^3+11x^2+25}{2x+5}[/latex]
g. [latex]\frac{3x^3+5x^2+7x+9}{x^2+2}[/latex]
h. [latex]\frac{x^3-27}{x-3}[/latex]
2. Suppose that a polynomial is divided by (3x – 2) and the answer is given as [latex]x^2+2x+4+\frac{20}{3x-2}[/latex]. What was the original polynomial