Factor by Grouping

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What is Factor by Grouping?

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Factor by Grouping is a method used to factor polynomials by grouping terms with common factors. It involves rearranging and grouping terms to factor them more easily.

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What is the first step in Factor by Grouping?

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The first step is to rearrange the polynomial into two groups that can be factored separately.

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How do you identify common factors in Factor by Grouping?

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Look for common terms in each group of the polynomial. Factor out the greatest common factor (GCF) from each group.

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What is the purpose of Factor by Grouping?

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The purpose is to simplify polynomials and make them easier to solve or analyze.

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(5x^2 + 1)(4x - 5)

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(x - 4)(x^2 - 4)

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(r^2 + 6)(7r - 8)

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(2x^2 - 1)(x - 4)

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(x^2 + 5)(x - 5)

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What is a polynomial?

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A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.