Factor GCF of Polynomials

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What is the Greatest Common Factor (GCF) of a polynomial?

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The GCF of a polynomial is the largest polynomial that divides all terms of the polynomial without leaving a remainder.

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How do you factor out the GCF from a polynomial?

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To factor out the GCF, identify the highest common factor of all terms, then divide each term by the GCF and write it outside the parentheses.

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What is a polynomial?

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A polynomial is a mathematical expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

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What is the difference between a monomial, binomial, and trinomial?

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A monomial has one term, a binomial has two terms, and a trinomial has three terms.

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What does it mean to factor a polynomial completely?

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Factoring a polynomial completely means breaking it down into irreducible factors, which cannot be factored further.