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 and then factoring 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.

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How do you determine if a binomial is a factor of a polynomial?

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To determine if a binomial is a factor of a polynomial, you can use polynomial long division or synthetic division. If the remainder is zero, it is a factor.

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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 do you do after grouping the terms in factoring by grouping?

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After grouping, factor out the common factor from each group.

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What is the significance of the common binomial in factoring by grouping?

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The common binomial that results from factoring out the common factors allows you to factor the polynomial completely.