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Section P4 Polynomials

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How We Describe Polynomials

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Adding and Subtracting Polynomials

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Example Perform the indicated operations and simplify:

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Example Perform the indicated operations and simplify:

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Multiplying Polynomials

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Example Find each product:

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Example Find each product:

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The Product of Two Binomials: FOIL

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Example Find each product:

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Example Find each product:

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Multiplying the Sum and Difference of Two Terms

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Example Find the product:

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Example Find the product:

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The Square of a Binomial

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Example Find each product:

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Example Find each product:

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Special Products

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Polynomials in Several Variables

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A polynomial in two variables, x and y, contains the sum of one or more monomials in the form ax n y m. The constant a is the coefficient. The exponents n and m represent whole numbers. The degree of a polynomial in two variables is the highest degree of all its terms.

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Example Perform the indicated operations:

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Example Find the product:

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Example Find the product:

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(a) (b) (c) (d) Perform the indicated operations.

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(a) (b) (c) (d) Find the product.

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