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Polynomial Expressions

Polynomial Expressions. Refreshing Your Skills - 7. I n Chapter 7, you will learn about polynomial functions and their graphs. In this lesson you’ll review some of the terms and properties of polynomial expressions. Expressions such as 3.2 x, , 4 x 3 , and 2 x 0 are monomials.

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Polynomial Expressions

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  1. Polynomial Expressions Refreshing Your Skills - 7

  2. In Chapter 7, you will learn about polynomial functions and their graphs. • In this lesson you’ll review some of the terms and properties of polynomial expressions. • Expressions such as 3.2x, , 4x 3, and 2x0 are monomials.

  3. More generally, the expression axnis a monomial when a is a real number and n is a nonnegative integer. A sum of monomials, like, is a polynomial.You can add, subtract, multiply, and divide monomials and polynomials just as you can combine numbers.

  4. EXAMPLE A • Find the sum and difference of and . Horizontally

  5. EXAMPLE A • Find the sum and difference of and . Vertically

  6. To multiply polynomials, it often helps to think of areas of rectangles. • In calculating the area of a rectangle, you multiply length times width. • If the sides of the rectangle are polynomial expressions, the area will also be a polynomial expression. • The area can be written as the product of the length and width, or as the sum of the areas of the interior regions.

  7. EXAMPLE B Even though lengths and areas are not negative, you can use rectangle diagrams to represent individual terms and products. • Copy each rectangle diagram and fill in the missing values to show the products and quotients of two polynomials.

  8. EXAMPLE B Even though lengths and areas are not negative, you can use rectangle diagrams to represent individual terms and products. • Write the two factors and the product for each diagram from the last part.

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