Given One Factor Find All of the Remaining Factors Using Synthetic Division

The video tutorial explains synthetic division of polynomials, starting with setting up the division problem and applying synthetic division to find the quotient and remainder. It then interprets the results, showing how to factor the quadratic term using the difference of squares method. The tutorial concludes with a summary and homework assignment to find all linear factors of a polynomial.

How can the quadratic expression X^2 - 4 be factored, according to the text?

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What are the linear factors of the original polynomial as derived from the synthetic division?

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