Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 68E
Related questions
Question
Use the graph of the polynomial function to solve the inequality.
2x3 + 11x2 < 7x + 6
Expert Solution
Step 1
Combine all the terms on the left hand side of the inequality:
The original inequality becomes
"converted polynomial"
You must determine a root of this polynomial. To do so use the Rational Root Test to determine all the possible roots. Possible roots are determined by dividing all the factors of the constant (6) by all the factors of the leading coefficient (2) and assigning a plus or minus value to each.
All the factors of the constant are: 6, 3, 2, 1
All the factors of the leading coefficient are: 2,1
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