P.557 2, 5, 8, 19, 22, 25, 26, 28, 30, 34, 38, 40, 48, 54.

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p.557 2, 5, 8, 19, 22, 25, 26, 28, 30, 34, 38, 40, 48, 54

Objective: add and subtract polynomials

 Monomial ◦ A number, variable, or the product of a number and one or more variables with whole number exponents. ◦ Its degree is the sum of the exponents of the variables. MonomialDegree 100 3x1 ½ ab m 5 5

 Monomial: What is NOT one Not a MonomialWhy not? 5 + xIs a sum 2/nNo variables in denominator 4a4a No variables in exponent X -1 Exponent not a whole #

 Polynomial: a monomial or a sum of monomials, each called a term  Degree of a Polynomial: the greatest degree of its terms  Leading Coefficient: the coefficient of the first term when the terms are written so the exponents decrease from left to right.  Binomial: Polynomial with two terms  Trinomial: Polynomial with three terms

 3b 3 -2b 4 + b 2  Write so that the exponents decrease from left to right.  Identify the degree.  Identify the leading coefficient.  -2b 4 + 3b 3 + b 2  Degree = 4  Lead Coeff. = -2

A. 5xy 2 B. 3a-5 C. X 4 + 3x 3 – x D. 9/m E. 6a 2 c + 5ac 5 A. Yes, 3, monomial B. Yes, 1, binomial C. Yes, 4, polynomial D. No E. Yes, 6, binomial

 Just combine like terms!  (-2x 2 + 3x – x 3 ) + (3x 2 + x 3 – 12) ◦ X 2 + 3x -12  (4x 3 + 2x 2 -4) + (x 3 -3x 2 + x) ◦ 5x 3 – x 2 + x - 4 Vertical Format 4x 3 + 2x 2 -4 x 3 -3x 2 + x 5x 3 – x 2 + x - 4

 (2c 2 – 8) – (3c 2 – 4c +1) ◦ 2c 2 – 8 – 3c 2 + 4c – 1 ◦ -c 2 + 4c – 9  (5y 2 + 2y – 4) – (-y 2 +4y – 3) ◦ 5y 2 + 2y – 4 + y 2 - 4y + 3 ◦ 6y 2 – 2y - 1 Vertical Format (5y 2 + 2y – 4) 5y 2 + 2y – 4 -(-y 2 +4y – 3) y 2 - 4y +3 6y 2 – 2y - 1

 Between 1999 and 2005, the number of hours an individual person watched broadcast television B and cable and satellite television C can be modeled by: B = 2.8t 2 – 35t and C = -5t t +712 where t is the number of years since About how many hours did people watch television is 2002? ◦ About 1706 hours