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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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 the polynomial can be expressed as the product of that binomial and another polynomial.

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What is the significance of finding common factors in polynomials?

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Finding common factors simplifies the polynomial, making it easier to factor completely or solve equations.

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What does it mean for a polynomial to be factored completely?

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A polynomial is factored completely when it is expressed as a product of irreducible polynomials over the given number system.

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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.