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

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A binomial is a factor of a polynomial if dividing the polynomial by the binomial results in a polynomial with no remainder.

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What is a common mistake when factoring by grouping?

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A common mistake is failing to correctly group the terms or not factoring out the greatest common factor from each group.

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What is the significance of the greatest common factor in factoring?

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The greatest common factor is important because it simplifies the polynomial and makes it easier to factor the remaining terms.

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How can you check if your factorization is correct?

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You can check by multiplying the factors back together to see if you obtain the original polynomial.