Section Exercises
1. If the terms of a polynomial do not have a GCF, does that mean it is not factorable? Explain. 2. A polynomial is factorable, but it is not a perfect square trinomial or a difference of two squares. Can you factor the polynomial without finding the GCF? 3. How do you factor by grouping? For the following exercises, find the greatest common factor. 4. 5. 6. 7. 8. 9. For the following exercises, factor by grouping. 10. 11. 12. 13. 14. 15. For the following exercises, factor the polynomial. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. For the following exercises, factor the polynomials. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. For the following exercises, consider this scenario: Charlotte has appointed a chairperson to lead a city beautification project. The first act is to install statues and fountains in one of the city’s parks. The park is a rectangle with an area of m2, as shown in the figure below. The length and width of the park are perfect factors of the area.![A rectangle that’s textured to look like a field. The field is labeled: l times w = ninety-eight times x squared plus one hundred five times x minus twenty-seven.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/09/25200232/CNX_CAT_Figure_01_05_201.jpg)
![A square that’s textured to look like a field with a missing piece in the shape of a square in the center. The sides of the larger square are labeled: 100 yards. The center square is labeled: Area: x squared minus six times x plus nine.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/09/25200234/CNX_CAT_Figure_01_05_202.jpg)