College Algebra / Unit 7 Alg 369 short lesson, about 20 seconds
The Factor Theorem
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The idea
The Factor Theorem states that k is a zero of a polynomial exactly when x − k is a factor.
In practice
f(x) = x³ − 3x + 2 has f(1) = 0, so x − 1 is a factor — zero remainder and clean factor, one fact.
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