Unit 0 Polynomial Review

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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. It can be expressed in the form: a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants.

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What does it mean for a polynomial to be in standard form?

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A polynomial is in standard form when its terms are arranged in descending order of the degree of the variable. For example, 9x^3 + 8x^2 - 3x - 11 is in standard form.

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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. For example, to divide 2x^8 - 8x^2 - 28x by 2x, you would get x^7 - 4x - 14.

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

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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.

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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. For example, in the polynomial 9x^3 + 8x^2 - 3x - 11, the leading coefficient is 9.

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How do you simplify a rational expression?

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What is the product of (4x + 3)(x + 2)?

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