Domain of Rational Expressions

Practice Problems

State the domain of each rational expression.

\(\textbf{1)}\) \( \displaystyle\frac{x^3+2x^2}{x^2+3x+2} \)
Link to Youtube Video Solving Question Number 1


\(\textbf{2)}\) \( \displaystyle\frac{x^4+2x^3-15x^2}{x^2-3x} \)


\(\textbf{3)}\) \( \displaystyle\frac{x^2-6x-40}{2x^2+3x-20} \)


\(\textbf{4)}\) \( \displaystyle\frac{25-x^2}{x^2+4x-5} \)


\(\textbf{5)}\) \( \displaystyle\frac{x^3+5x^2+3x+15}{x^3+3x} \)


\(\textbf{6)}\) \( \displaystyle\frac{x^3-2x^2+x}{x^2-2x+1} \)


\(\textbf{7)}\) \( \displaystyle\frac{x^2-1}{x-1} \)


\(\textbf{8)}\) \( \displaystyle\frac{x^3-1}{x^2-1} \)



See Related Pages\(\)

\(\bullet\text{ Rational Expressions- Multiplying and Dividing}\)
\(\,\,\,\,\,\,\,\,\displaystyle\frac{x^2+3x-4}{(x+4)(x+5)}\cdot \displaystyle\frac{x+5}{x-1}…\)
\(\bullet\text{ Rational Expressions- Adding and Subtracting}\)
\(\,\,\,\,\,\,\,\,\displaystyle\frac{x-5}{x+3}+\frac{x+2}{x^2+5x+6}…\)


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