9.1 - Section 9.1 Adding and subtracting polynomials Warm...

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Unformatted text preview: Section 9.1 Adding and subtracting polynomials Warm Up Simplify each expression 8 x - (2 + 4 x) 2 x 2 + x - 12 + ( x 2 + 3) xx + xx xxxx Objectives Classify polynomials by degree and number of terms Add and subtract polynomials Monomials An expression that is a number, variable or product of a number and one or more variables. The Degree of a monomial the exponent on the variable(s) EXAMPLES: state the degree of each 2 3 x 3 10 x y 3 5 9x 0 5y 3 -4 Polynomials A monomial or the sum or difference of two or more monomials. A polynomial is made up of terms 3 2 Example: 3x - 4 x + x - 2 Degree of polynomial: the degree of monomial with greatest exponent. Standard form & names Standard form of polynomial: degrees of monomial terms decrease from left to right. We have special names for polynomials based on their degree and how many terms they have. 3x - x This is a cubic binomial 3 Degree Name Using Degree Constant Linear Quadratic Cubic Quartic Number of terms 0 1 2 3 4 1 2 3 Name Using number of terms Monomial Binomial Trinomial x + 4x - 7 3 2 x -5 4 x - 10 x + 5 2 5 Write each polynomial in Standard form. Then name it based on degree & number of terms. 5 - 2x 3x 4 - 4 + 2 x 2 + 5 x 4 4 6x + 7 - 9x 2 8 + 7 x - 11x When adding polynomials, you can add like terms Method 1: Add vertically (4 x 2 + 6 x + 7) + (2 x 2 - 9 x + 1) Method 2: Add horizontally (4 x 2 + 6 x + 7) + (2 x 2 - 9 x + 1) Subtracting (2 x 3 + 5 x 2 - 3x) - ( x 3 - 8 x 2 + 11) Practice (4 x + 5 x + 1) - (6 x + x + 8) 2 2 (12m + 4) + (8m + 5) 2 2 More practice (v 3 + 6v 2 - v) - (9v 3 - 7v 2 + 3v) ( -3x + 7) - (2 x 2 - 9 x - 15) Homework Page 459 (1-19odd) 22, 30, 35-38 ...
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This note was uploaded on 05/16/2011 for the course ALGEBRA 098 taught by Professor Johnson during the Spring '09 term at Grand Valley State University.

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