Factoring and Solving Polynomial equation by factoring Alg 2 Dec

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What is factoring in algebra?

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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 irreducible polynomials, meaning it cannot be factored further over the given number system.

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What is the zero-product property?

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The zero-product property states that if the product of two or more factors is zero, then at least one of the factors must be zero.

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What is the difference of squares?

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What is the sum of cubes formula?

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What is the difference of cubes formula?

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How do you factor by grouping?

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To factor by grouping, group terms in pairs, factor out the common factor from each group, and then factor out the common binomial.

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What is a common factor?

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A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.