Section P4 Polynomials. How We Describe Polynomials.

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Presentation transcript:

Section P4 Polynomials

How We Describe Polynomials

Adding and Subtracting Polynomials

Example Perform the indicated operations and simplify:

Example Perform the indicated operations and simplify:

Multiplying Polynomials

Example Find each product:

Example Find each product:

The Product of Two Binomials: FOIL

Example Find each product:

Example Find each product:

Multiplying the Sum and Difference of Two Terms

Example Find the product:

Example Find the product:

The Square of a Binomial

Example Find each product:

Example Find each product:

Special Products

Polynomials in Several Variables

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.

Example Perform the indicated operations:

Example Find the product:

Example Find the product:

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

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