LESSON Practice B 2.4 For use with the lesson "Factor and Solve Polynomial Equations" Factor the sum or difference of cubes. 2. 8 LESSON 2.4 4. 27g' + 343 5. 6. 40v3 - 625 Factor the polynomial by grouping. 3/- + Or - 18 8. x3 + 6.x2 + 7.x + 42 + 40- - 9c - 36 10. 23 - 2z2 - 162 + 32 11. 25p - 25p- - p+ 1 12. 9m' + 18m2 - 4m - 8 Factor the polynomial in quadratic form. x4 - 36 14. c4 - 81 15. x4 + x2 - 20 16. 6v6 - 5p3 - 4 Factor the polynomial completely. 17. x6 - 4 18. d4 - 7d2 + 10 19. 24q' - 81 20. a6 + 7a3 + 6 21. -4x4 + 26x2 - 30 22. 264 + 1463 - 166 - 112 Find the real-number solutions of the equation. 23. n4 + 6n' = 0 24. 4/3 = 9k2 25. x + 2x2 - 25x - 50 = 0 26. 6w3 + 30w- - 18w - 90 = 0 27. y4 - 14y2 + 45 = 0 28. 3r5 + 15/3 - 18r = 0 29. Write a binomial that can be factored either as the difference of two squares or as the difference of two cubes. Show the complete factorization of your binomial. 30. City Park You are designing a marble planter for a city park. You want the length of the planter to be six times the height, and the width to be three times the height. The sides should be one foot thick. Because the planter will be on the sidewalk, it does 3x not need a bottom. What should the outer dimensions of the planter be if it is to hold 4 cubic feet of dirt