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A folded US flag is sometimes presented to individuals in recognition of outstanding service. The dimensions of one folded flag are: Homework: 81 Skills Practice x + 5 Write a polynomial expression that represents the area of wall space covered by the display case that holds this flag. 1 2 Chapter 81 Monomials and Factoring A monomial is in factored form when it is expressed as the product of prime numbers and variables, and no variable has an exponent greater than 1. Factor 20x3y2 completely: 3 Factor: 34x4y3 2 52a b 2 3 18x y 4 Greatest Common Factor of Monomials: greatest number that is a factor of both monomials Factor each monomial and then find the common factors and multiply them together. 12a2b2c = 18ab3= 5 Find the GCF of the following monomial pairs: 6xy3 & 18yz 30q3r2t & 50q2rt 6 Word problem using GCF: A florist has 20 roses and 30 tulips to make bouquets. What is the greatest number of identical bouquets whe can make without having any flowers left over? How many of each kind of flower will be in each bouquet? Find the GCF of 20 and 30. 7 Chapter 82 Using the Distributive Property to Factor Polynomials 2 Factor: 15x + 25x 1. Find the greatest common factors of each term 2. Use the distributive property 8 Factor: 7u2t2+ 21u2t2 ut 9 Factor: 15x + 25x 2 10 Factor: 12xy + 24xy230x2y4 11 Factoring polynomials: reverse of multiplying. Technique #1 to factor: Factoring by Grouping: 4qr + 8r + 3q + 6 12 Factor: 15a 3ab + 4b 20 13 Factor: 2xy + 7x 2y 7 14 Factor: rn + 5n r 5 15 Zero Product Property: If the product of two factors is 0, then at least one of the factors must be 0. For any real numbers a and b, if ab = 0, then a = 0, b = 0, or both a and b equal zero. Solve the equation: (2d + 6)(3d 15) = 0 16 2 Solve the equation: 20p 15p = 0 Solve: x2 = 10x 17 18 Attachments streamphotos.webloc 4424429861_35b43d1d6e.webloc