Factor the trinomials. 1) –x2 – 3x + 28 2) 3a2 – 13a + 4 3) 6c2 + 17c + 2 4) –3r2 – 17r – 10 Solve the equations. 5) –x2 – x + 20 = 0 6) 2y2 + y – 10 = 0 7) 3w2 + 19w + 6 = 0 8) –3s2 – s + 10 = 0 Find the zeros of the polynomial functions. 9) f(x) = –x2 + 6x + 27 10) f(x) =3x2 – 17x + 20 11) f(x) =4x2 + 29x + 30 12) Your weekly revenue R (in dollars) from your tie-dye T-shirt business can be modeled by the euqaton R = – 2t2 + 87t + 90 where t represents the number of weeks since the first week you started selling T-shirts. How much did you make your first week? 13) You plan on making a wall hanging that contains two small mirrors as shown. a) Write a polynomial that represents the area of the wall hanging. b) The area of the wall hanging will be 480 inches2. Find the value of x. c) Find the length and width of the mirrors you will use. ANSWERS ON BACK Factor the trinomials. 1) –x2 – 3x + 28 2) 3a2 – 13a + 4 3) 6c2 + 17c + 2 4) –3r2 – 17r – 10 Solve the equations. 5) –x2 – x + 20 = 0 6) 2y2 + y – 10 = 0 7) 3w2 + 19w + 6 = 0 8) –3s2 – s + 10 = 0 Find the zeros of the polynomial functions. 9) f(x) = –x2 + 6x + 27 10) f(x) =3x2 – 17x + 20 11) f(x) =4x2 + 29x + 30 12) Your weekly revenue R (in dollars) from your tie-dye T-shirt business can be modeled by the euqaton R = – 2t2 + 87t + 90 where t represents the number of weeks since the first week you started selling T-shirts. How much did you make your first week? 13) You plan on making a wall hanging that contains two small mirrors as shown. a) Write a polynomial that represents the area of the wall hanging. b) The area of the wall hanging will be 480 inches2. Find the value of x. c) Find the length and width of the mirrors you will use. ANSWERS ON BACK ANSWER KEY: 1. (–x + 4)(x + 7) 2. (3a – 1)(a – 4) 3. (3c + 2)(2c + 1) 4. (r + 5)(–3r – 2) 5. x = –4, 5 6. y = –21/2, 2 7. w = –6, –1/3 8. s = –2, 12/3 9. x = –3, 9 10. x = 12/3, 4 11. x = –6, –11/4 12. You made $90 your first week. 13. a. 4x2 + 24x + 32 b. x = 8 inches c. 8 inches by 16 inches ANSWER KEY: 1. 2. 3. 4. 5. 6. 7. 8. (–x + 4)(x + 7) (3a – 1)(a – 4) (3c + 2)(2c + 1) (r + 5)(–3r – 2) x = –4, 5 y = –21/2, 2 w = –6, –1/3 s = –2, 12/3 9. x = –3, 9 10. x = 12/3, 4 11. x = –6, –11/4 12. You made $90 your first week. 13. a. 4x2 + 24x + 32 b. x = 8 inches c. 8 inches by 16 inches
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