Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

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Rational Roots Theorem - Problem 3

Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

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Since a polynomial is defined as having all rational coefficients, if one complex value is a known zero of a polynomial, then its conjugate must also be a zero. The same is true for radical roots- they come in conjugate pairs. Lastly, the fundamental theorem of algebra tells us that a polynomial of degree n will have exactly n roots (some may be real, some may be imaginary.)

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