Algebra 2
Section 4.9: Solving Polynomial Inequalities - Day 1
Polynomial Inequality:
An inequality that is equivalent to an inequality
with a polynomial on one side and zero as the
other.
Remember when graphing inequalities:
Open Circle if < or >
Closed Circle if ≤ ; ≥ ; or =
Conjunction: < ; ≤
and -- shade together
Disjunction: > ; ≥
or -- shade apart
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Algebra 2
Section 4.9: Solving Polynomial Inequalities - Day 1
Steps for solving Polynomial Inequalities:
Step 1:
Factor the inequality
Step 2:
Find the roots of the factored inequality
Step 3:
Step 4:
Graph the roots on a number line
Shade appropriately
Step 5:
Write the solution set
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Algebra 2
Section 4.9: Solving Polynomial Inequalities - Day 1
Examples: Find and graph the solution.
#1)
x2 - 3x ≥ 0
3
Algebra 2
Section 4.9: Solving Polynomial Inequalities - Day 1
Examples: Find and graph the solution.
#2)
4x2 - 8x < 0
4
Algebra 2
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