Polynomial and Rational Inequalities

Precalculus Quiz

 




To solve a polynomial or rational inequality,
1. Factor the polynomial completely over the real numbers.
2. Mark the zeros of the polynomial on a number line.
3. Determine the sign of the polynomial on each of the resulting intervals.
4. Select the intervals corresponding to the sign of the original inequality.





Question 1: Solve the inequality x2 - 11x + 30 > 0.













Question 2: Solve the inequality x3 - 7x2 + 6x < 0











Question 3: Solve the inequality x4 - 1 > 0.












Question 4: Solve the inequality x4 - 4x2 < 0.

















Question 5: Solve the inequality x2 + x - 20 < 0













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