dividing polynomials by monomials

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What is a polynomial?

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A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

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What is 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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How do you divide a polynomial by a monomial?

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To divide a polynomial by a monomial, divide each term of the polynomial by the monomial separately.

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-5v^2 + vu + u^2

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5x^6

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(x^2 + y^3)/(x^4) = (1/x^2) + (y^3/x^4) = x^{-2} + y^3x^{-4}.

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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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What does it mean to simplify an expression?

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To simplify an expression means to reduce it to its simplest form, combining like terms and eliminating any unnecessary components.

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2k^2 + 5k - 4

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What is a coefficient in a polynomial?

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A coefficient is a numerical factor in a term of a polynomial.