Polynomial Concepts

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polynomial

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An expression that can be written in the form shown in the image where all the coefficients are real numbers and all the exponents are positive integers.

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Degree of a Polynomial

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greatest exponent of all the monomials

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constant

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degree of 0 (example: 7)

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linear

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degree of 1 (example: 2x)

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quadratic

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degree of 2 (example: -3x²+2)

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cubic

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degree of 3 (example: -4x³-2x)

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quartic

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degree of 4 (example: x⁴+2x)

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monomial

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polynomial with one term

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Trinomial

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polynomial with three terms

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Standard Form

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a polynomial whose terms are ordered by degree from greatest to least