Dividing Polynomial by Monomial Practice

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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^3 + 3x^2 - 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 constant, a variable, or a product of constants and variables raised to non-negative integer powers. For example, 4x^2 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. For example, to divide 6x^3 + 9x^2 by 3x, you would get 2x^2 + 3x.

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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 3x^4 + 2x^2 - 5, the degree is 4.

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What does it mean to simplify a polynomial?

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Simplifying a polynomial means combining like terms to reduce it to its simplest form. For example, 3x^2 + 2x^2 simplifies to 5x^2.