Important Notes About Polynomial Inequalities

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As a first step when working with polynomial inequalities one should write the inequality in the form Writing a polynomial inequality in the desired form may be done using the three familiar, fundamental, elementary properties of inequalities. If any expression is added to both sides of an inequality the resulting inequality is equivalent to the

The Law of Trichotomy – Polynomials in General Part I

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My primary recommendation is that we always simultaneously consider an equation and its two inequality siblings as a group and that we graph all three on the same number line. Law of Trichotomy Applied to Polynomial Inequalities in One Variable: Rule: The procedures demonstrated in Example 1 and Example 2 (of previous two posts) may