Math Problem Statement
 Use a proof by contradiction to show that there is no rational number r for which r 3 + r + 1 = 0.[Hint:Assume that r = a/b is a root, where a and b are integers and a/b is in lowest terms. Obtain an equation involving integers by multiplying by b 3 . Then look at whether a and b are each odd or even.]
Solution
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Math Problem Analysis
Mathematical Concepts
Proof by Contradiction
Rational Numbers
Polynomial Equations
Formulas

Theorems

Suitable Grade Level
Grades 1012