Factoring Polynomials Mixed Review

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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 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 given number system.

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What is a binomial?

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What is a trinomial?

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What is the difference of squares?

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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 or terms without leaving a remainder.

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How do you factor out the GCF from a polynomial?

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

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