AFDA – Unit 5: Polynomials Day 7 Notes: Unit 5 Test Review Name: _________________ Block: _____ Date:_______ Today… You will prepare for the Unit 5 Test Directions: Factor out the Greatest Common Factor (GCF). Circle your answer! 1.) 39𝑣 + 30𝑢𝑣 2.) 35𝑛2 𝑚 − 21𝑚2 𝑛 3.) 105𝑥 + 30𝑥𝑦 − 75𝑥 4.) 140𝑛 − 140𝑚2 − 80𝑚2 Directions: Find the product of the two polynomials. Don’t forget to combine like terms! 5.) (𝑟 + 1)(𝑟 − 3) 6.) (2𝑛 − 3)(2𝑛 − 1) 7.) (3𝑣 − 6)2 8.) (5𝑥 + 6)(4𝑥 2 − 8𝑥 − 4) Directions: Solve each quadratic function. Circle your answers! 9.) 𝑚2 + 𝑚 − 90 = 0 10.) 𝑥 2 + 2𝑥 − 24 = 0 11.) 𝑔2 + 16𝑔 + 64 = 0 12.) 𝑥 2 − 4𝑥 − 24 = 0 13.) 2𝑥 2 + 6𝑥 − 108 = 0 14.) 5𝑥 2 − 30𝑥 + 40 = 0 15.) 𝑥 2 − 4 = 0 16.) 2𝑛2 − 242 = 0 17.) 3𝑝2 − 2𝑝 − 5 = 0 18.) 2𝑛2 + 3𝑛 − 9 = 0 19.) 7𝑎2 + 53𝑎 + 28 = 0 20.) 5𝑐 2 + 19𝑐 + 12 = 0 21.) 9𝑘 2 + 66𝑘 + 21 = 0 22.) 16𝑟 2 + 60𝑟 − 100 = 0 23.) 4𝑥 2 − 169 = 0 24.) 27𝑥 2 − 588 = 0 Directions: Factor each polynomial by grouping. 25.) 63𝑑3 − 28𝑑 2 + 90𝑑 − 40 26.) 108𝑥 3 + 24𝑥 2 − 45𝑥 − 10 27.) 6𝑚3 + 16𝑚2 − 15𝑚 − 40 28.) 99𝑣 3 + 55𝑣 2 + 63𝑣 + 35 29.) 11𝑛3 − 22𝑛2 + 5𝑛 − 10 30.) 40𝑥𝑦 + 55𝑥 + 56𝑝𝑦 + 77𝑝 31.) When factoring and solving a quadratic, what are we actually solving for? 32.) What is the difference between factoring and solving?