Classify/Add/Sub Polynomials & Mult/Div Monomials

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What is a polynomial?

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A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers, combined using addition, subtraction, and multiplication.

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Define a monomial.

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A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables.

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What is the leading coefficient of a polynomial?

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The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

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How do you add polynomials?

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To add polynomials, combine like terms by adding their coefficients.

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What does it mean to subtract polynomials?

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Subtracting polynomials involves distributing the negative sign and then combining like terms.

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What is the degree of a polynomial?

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The degree of a polynomial is the highest power of the variable in the polynomial.

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How do you multiply monomials?

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To multiply monomials, multiply the coefficients and add the exponents of like bases.

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How do you divide monomials?

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To divide monomials, divide the coefficients and subtract the exponents of like bases.

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