Use the Factor Theorem to Find All Factors of a Polynomial (x − 3 Test)
Автор: Math Rescue
Загружено: 2025-12-05
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We’re using the Factor Theorem to check whether a binomial is actually a factor of a polynomial, and then we’ll break the whole thing down completely.
Example:
f(x) = x³ − 7x − 6
Check if x − 3 is a factor, then find all factors of the polynomial.
In this video, I’ll show you how to:
✅ Use the Factor Theorem by evaluating f(3)
✅ Confirm whether x − a is a factor based on the output
✅ Use synthetic division to break the polynomial down
✅ Factor the remaining quadratic to get the full factorization
This is one of the fastest ways to solve cubic equations and identify real solutions without guessing.
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