Factoring by grouping

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What is factoring by grouping?

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Factoring by grouping is a method used to factor polynomials by grouping terms with common factors together, allowing for easier simplification.

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What is the first step in factoring by grouping?

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The first step is to group the terms of the polynomial into pairs or sets that have common factors.

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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.

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What is the purpose of factoring polynomials?

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Factoring polynomials simplifies expressions, making it easier to solve equations and analyze functions.

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What does it mean to factor completely?

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Factoring completely means breaking down a polynomial into its simplest factors, such that no further factoring is possible.

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What is the relationship between roots and factors of a polynomial?

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The roots of a polynomial are the values of the variable that make the polynomial equal to zero, and each root corresponds to a factor of the polynomial.