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The Factor Theorem is a way to simplify the evaluation of polynomials by finding the factors of a given polynomial. In this video, the Factor Theorem is applied to the equation p of c = x cubed minus seven x plus six, where p of c is equal to zero. The theorem states that x plus three is not a factor of p of c, and that p of negative three is equal to zero. It is shown that x plus three is a factor of x cubed minus two x squared, x plus twelve, and x minus 33.

**00:00:00**The Factor Theorem states that if a polynomial has a factor that is smaller in magnitude than any other factor, then that factor is a factor of the polynomial. This theorem is used to simplify the evaluation of polynomials.**00:05:00**The Factor Theorem states that if a given polynomial has one or more factors, then the factors can be found by multiplying the polynomial together and checking for a factor of the resulting product. In this video, the Factor Theorem is applied to the equation p of c = x cubed minus seven x plus six, where p of c is equal to zero. The theorem states that x plus three is not a factor of p of c, and that p of negative three is equal to zero.**00:10:00**In this video, the Factor Theorem is explained, and it is shown that x plus three is a factor of x cubed minus two x squared, x plus twelve, and x minus 33.

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