a cubic polynomial with rational coefficients has the roots 3 + √3 and 5/9. Find one additonal root.?
need help on my math homework!
possible answers are
a: 3 +√3
b: 3 -√3
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need help on my math homework!
possible answers are
a: 3 +√3
b: 3 -√3
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Answers & Comments
b. The irrational values (like 3+sqrt(3)) come in conjugate pairs when there are rational coefficients, so 3+sqrt(3) and 3 - sqrt(3) must both be roots.