Adding, Subtracting, and Multiplying Polynomials

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Presentation transcript:

Adding, Subtracting, and Multiplying Polynomials Section 4.2

What You Will Learn Add and subtract polynomials. Multiply polynomials. Use Pascal’s Triangle to expand binomials.

Adding Polynomials Vertically and Horizontally

Subtracting Polynomials Vertically and Horizontally

Multiplying Polynomials Vertically and Horizontally

Using Special Product Patterns Find each product. a. (4n + 5)(4n − 5) b. (9y − 2)2 c. (ab + 4)3

Pascal’s Triangle Consider the expansion of the binomial (a + b)n for whole number values of n. When you arrange the coeffi cients of the variables in the expansion of (a + b)n, you will see a special pattern called Pascal’s Triangle. Pascal’s Triangle is named after French mathematician Blaise Pascal (1623−1662).

Use Pascal’s Triangle to expand (x − 2)5

Use Pascal’s Triangle to expand (3y + 1)3.