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Algebra Quiz Chapter 10 Identify the leading coefficient, and classify the polynomial by degree and by the number of terms. 1. 7x3 – 3x 2. 5x2 + 3x – 7 3. 5x + 2 Use a vertical format or a horizontal format to add or subtract. 4. (2x3 + 5x) + (7x2 – x + 2) 5. (-2x2 – 7x + 3) – (-5x2 + 3x – 7) 6. (3 + 7x) + (4 + 6x) Find the Product 7. (x + 1)(x + 3) 8. (4a – 3)(2a – 7) 9. (x - 2)(3x2 - 2x + 3) Solve the following quadratic equations by factoring. 10. x2 + 11x + 24 = 0 11. x2 - 20x - 44 = 0 12. x2 - 20x + 75 = 0 13. x2 + 4x - 12 = 0 14. x2 + 13x + 36 = 0 15. x2 - 2x + 1 = 0 16. Write your own quadratic equation that can be factored then factor it. 17. Cutting lawns is a popular summer job. It is a great way to earn money and to help others. Your neighbor asks you to cut her lawn. Her back yard is rectangular and is (6x + 3) feet wide and (10x + 3) feet long. An area of the yard is fenced in for her dog. The dog cage is rectangular and is (x – 2) feet wide and (x + 2) feet long. a) Write an expression that represents the total area of her back yard. b) Write an expression that represents the area of the dog cage. c) Write an expression that represents the area of the lawn that you will mow. Bonus: Solve: 2r2 + 8r = 3(r2 + 2) – 2(5 + 2r2) + 1