Factoring Algebraic Expressions

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What is factoring in algebra?

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Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

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What is the greatest common factor (GCF)?

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The GCF is the largest factor that two or more numbers have in common. It is used to simplify expressions.

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7(2w + 7m)

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CCSS.7.EE.A.1

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8(t - 4u)

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CCSS.7.EE.A.1

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What does it mean to factor out a negative term?

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Factoring out a negative term involves taking out a negative number from an expression, which changes the signs of the remaining terms.

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CCSS.7.EE.A.1

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-(2d + 7)

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CCSS.7.EE.A.1

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9(3w + 4)

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CCSS.7.EE.A.1

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How do you factor a polynomial expression?

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To factor a polynomial, identify the GCF of the terms, then divide each term by the GCF and express the polynomial as a product of the GCF and the resulting expression.

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Factor the area expression to find the length: Length = (2m - 5n) units.

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CCSS.8.EE.C.7B

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What is a binomial?

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