Alg2CP 3.0 Factoring by Grouping & Parts Check-Up

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What is the Greatest Common Factor (GCF)?

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The GCF is the largest factor that divides two or more numbers without leaving a remainder.

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How do you factor out the GCF from an expression?

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To factor out the GCF, identify the largest factor common to all terms, then divide each term by the GCF and write the expression as the GCF multiplied by the resulting polynomial.

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What is the first step in factoring a polynomial?

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The first step is to look for the GCF of all the terms in the polynomial.

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What does it mean to solve for x by factoring?

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Solving for x by factoring involves rewriting a polynomial equation as a product of its factors and then setting each factor equal to zero.

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How do you combine like terms in a polynomial?

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Combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

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