(Dec. 6, 2024) 2nd Fact. Poly: GCF, Grouping, & Diff. of Squares

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What is the Greatest Common Factor (GCF)?

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The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

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How do you factor a polynomial by taking out the GCF?

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To factor a polynomial by taking out the GCF, identify the largest factor common to all terms, then divide each term by this factor and express the polynomial as the product of the GCF and the resulting polynomial.

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What is the grouping method in factoring?

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The grouping method involves rearranging the terms of a polynomial, grouping them into pairs, factoring out the common factors from each pair, and then factoring out the common binomial.

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What is the difference of squares?

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What is the first step in factoring by grouping?

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The first step is to rearrange the polynomial into two groups that can be factored separately.