Advanced Algebra TEKS (Fall 2024)

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3

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Definition: Complex Number

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A number of the form a + bi, where a and b are real numbers and i is the imaginary unit.

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Definition: Rational Expression

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An expression that can be written as a fraction of two polynomials.

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Definition: Polynomial Function

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A function that can be expressed in the form f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0.

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Definition: Division of Polynomials

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The process of dividing a polynomial by another polynomial, often using long division or synthetic division.

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Definition: Simplifying Expressions

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The process of reducing an expression to its simplest form by combining like terms and eliminating unnecessary parentheses.