Practice Simplifying Rational Expressions (3) - Rational Functions - IB 10 Mathematics

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10 questions

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6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
4 questions · about 3 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Factor and simplify $\frac{x^2 - 4}{x^2 - 5x + 6}$ . What is your answer?
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Factor the numerator and denominator!
Question 2.
What are the domain restrictions for $\frac{x+2}{x-3}$ ?
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Look for values that make the denominator zero.
3Question 3.
What is the first step in simplifying a rational expression?
- Cancel common factors
- Factor the numerator and denominator
- Add the numerators
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Think about what needs to be done first.
4Question 4.
True or False: You can cancel factors in the numerator and denominator only after simplifying.
- True
- False
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Remember when you are allowed to cancel.
Question 5.
Simplify $\frac{x^3 - 4x^2 + 4x}{x^2 - 2x}$ and find the domain restrictions.
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Look for common factors in each part of the fraction.
Question 6.
Consider $\frac{x^4 - 5x^2 + 4}{x^2 - 4}$ . Simplify and state restrictions.
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Factor both the numerator and denominator.

6 more questions in this section. Enroll free to practise them all.