Factoring Quadratics Using Factor Sums

The video tutorial explains how to factor quadratic polynomials using the method of factor sums. It begins with an introduction to factoring polynomials and binomials, followed by a detailed explanation of the factor sums method. Two examples are provided: factoring X^2 + 9X + 18 and X^2 - 10X + 24, demonstrating the step-by-step process of identifying numbers that multiply to the constant term and add to the linear term. The tutorial concludes with a verification of the factored forms by expanding them back to the original polynomials.

What is the process of breaking a polynomial into simpler terms called?

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Explain how to multiply two binomials using the FOIL method.

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What do the numbers A and B represent when factoring a quadratic polynomial?

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In the example X^2 + 9X + 18, what two numbers multiply to 18 and add to 9?

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How can you verify that you have factored a quadratic polynomial correctly?

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