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 find the GCF (Greatest Common Factor) of a polynomial?

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To find the GCF, identify the highest degree of each variable in the terms and the largest coefficient that divides all the coefficients.

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What is a binomial?

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A binomial is a polynomial that contains exactly two terms.

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What is the purpose of factoring a polynomial?

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The purpose of factoring a polynomial is to simplify it, solve equations, or find roots.

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What does it mean to factor out a common factor?

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To factor out a common factor means to divide each term of the polynomial by the GCF and express the polynomial as a product.