Factoring Polynomials Completely

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What is factoring in mathematics?

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

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What is a polynomial?

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A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

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What does it mean to factor a polynomial completely?

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Factoring a polynomial completely means expressing it as a product of its irreducible factors, which cannot be factored further over the set of real numbers.

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What is the greatest common factor (GCF)?

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The greatest common factor (GCF) is the largest factor that two or more numbers or expressions share.

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How do you find the GCF of the terms in a polynomial?

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To find the GCF of the terms in a polynomial, identify the highest power of each variable and the largest coefficient that divides all the terms.

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What is the first step in factoring a polynomial?

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The first step in factoring a polynomial is to look for the greatest common factor (GCF) among the terms.

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What is the difference of squares?

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CCSS.HSA.APR.C.4