Dividing Polynomials by a Monomial

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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 and coefficients. For example, 2x^2 + 3x - 5 is a polynomial.

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What is a monomial?

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A monomial is a polynomial with only one term. It can be a number, a variable, or a product of numbers and variables. For example, 4x^3 is a monomial.

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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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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. For example, in the polynomial 4x^3 + 2x^2 - x, the degree is 3.

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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 parts.

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What are like terms in a polynomial?

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Like terms are terms that have the same variable raised to the same power. For example, 3x^2 and 5x^2 are like terms.