Factoring Quadratics with GCF

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What is the Greatest Common Factor (GCF)?

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

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How do you find the GCF of 15 and 25?

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The GCF of 15 and 25 is 5, as it is the largest number that divides both.

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What is the first step in factoring a quadratic expression by GCF?

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Identify the GCF of all the terms in the expression.

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What does it mean to factor an expression?

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Factoring an expression means to break it down into simpler expressions that, when multiplied together, give the original expression.

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What is the significance of factoring in algebra?

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Factoring helps simplify expressions and solve equations more easily.

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How do you check if your factorization is correct?

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Multiply the factors back together to see if you obtain the original expression.