8-8 Practice Differences of Squares Factor each polynomial, if possible. If the polynomial cannot be factored, write prime. 1. 100 2. 81 3. 16 36 – – – 4. 4 + 25 5. 144 9 6. 36 49 – – 7. 121 144 8. 32 8 9. 24 54 – – – 10. 32 18 11. 9 32 12. 36 9z – – – 13. 45 20q 14. 100 36b 15. 3 48 – – – Solve each equation by factoring. Check your solutions. 16. 4 = 81 17. 64 = 9 18. 98 50 = 0 – 19. 32 162= 0 20. = 0 21. = 0 – – – 22. 25 = 0 23. 27 = 48h 24. 75 = 147g – 25. EROSION A rock breaks loose from a cliff and plunges toward the ground 400 feet below. The distance that the d rock falls in seconds is given by the equation = 16. How long does it take for the rock to hit the ground? t d 26. FORENSICS Mr. Cooper contested a speeding ticket given to him after he applied his brakes and skidded to a halt to avoid hitting another car. In traffic court, he argued that the length of the skid marks on the pavement, 150 feet, proved that he was driving under the posted speed limit of 65 miles per hour. The ticket cited his speed at 70 miles per hour. Use the formula = where is the speed of the car and is the length of the skid marks, to determine Mr. d, s d Cooper’s speed when he applied the brakes. Was Mr. Cooper correct in claiming that he was not speeding when he applied the brakes?
8-8 Practice Differences of Squares Factor each polynomial, if possible. If the polynomial cannot be factored, write prime. 1. – 100 2. 81 – 3. 16 – 36 4. 4 + 25 5. 144 – 9 6. 36 – 49 7. 121 – 144 8. 32 – 8 9. 24 – 54 10. 32 – 18 11. 9 – 32 12. 36 – 9z 13. 45 – 20q 14. 100 – 36b 15. 3 – 48 Solve each equation by factoring. Check your solutions. 16. 4 = 81 17. 64 = 9 18. 98 – 50 = 0 19. 32 – 162= 0 20. – = 0 21. – = 0 22. – 25 = 0 23. 27 = 48h 24. 75 = 147g 25. EROSION A rock breaks loose from a cliff and plunges toward the ground 400 feet below. The distance d that the rock falls in t seconds is given by the equation d = 16. How long does it take for the rock to hit the ground? 26. FORENSICS Mr. Cooper contested a speeding ticket given to him after he applied his brakes and skidded to a halt to avoid hitting another car. In traffic court, he argued that the length of the skid marks on the pavement, 150 feet, proved that he was driving under the posted speed limit of 65 miles per hour. The ticket cited his speed at 70 miles per hour. Use the formula = d, where s is the speed of the car and d is the length of the skid marks, to determine Mr. Cooper’s speed when he applied the brakes. Was Mr. Cooper correct in claiming that he was not speeding when he applied the brakes?
8.8-Practice-Differences-of-Squares.docx