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 factorization.

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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 binomial?

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A binomial is a polynomial that contains exactly two terms.

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You can use polynomial long division or synthetic division to check if the remainder is zero.

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What does it mean if a polynomial is factorable?

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A polynomial is factorable if it can be expressed as a product of two or more polynomials of lower degree.

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What is the significance of finding factors of a polynomial?

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Finding factors helps in simplifying expressions, solving equations, and understanding the roots of the polynomial.