Polynomials and Rational Inequalities. We can factor the equation Set each factor equal to 0.

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Presentation transcript:

Polynomials and Rational Inequalities

We can factor the equation Set each factor equal to 0

Locate the boundary points on the number line and separate the line into intervals.   We have 3 intervals and we need to test a point in each interval.

IntervalTest ValueConclusion   True False True

IntervalTest ValueConclusion True False True

Your Turn

Factor the equation using grouping



IntervalTest ValueConclusion  True False True False

IntervalTest ValueConclusion True False True 3False

Your Turn

Solving Rational Inequalities But I’d rather be at the beach

Set the numerator equal to zero and solve. Set the denominator equal to zero and solve. The least common denominator is x + 3. Express both terms with this denominator.

Set the numerator equal to zero and solve. Set the denominator equal to zero and solve.

We will use − 5 and − 3 as boundary points on a number line. Locate the boundary points on the number line and separate the line into intervals. We have 3 intervals and we need to test a point in each interval. 

IntervalTest ValueConclusion   Does the test point satisfy the inequality False True False

IntervalTest ValueConclusion False True False

Your Turn