Question: EXERCISE 3-5 A B In Problems 1-4, find constants A and B so that the indi- In Problems 11-22, decompose into partial fractions. cated equation

EXERCISE 3-5 A B In Problems 1-4, find constants
EXERCISE 3-5 A B In Problems 1-4, find constants A and B so that the indi- In Problems 11-22, decompose into partial fractions. cated equation is a polynomial identity. 11. 3x - 40 4x - 43 1. 5x - 10 = A(x + 4) + B(x - 6) 12. x - x - 12 x + 3x - 10 2. 3x + 18 = A(x - 1) + B(x + 2) 8x - 22 x - 27 13. 3. -9x + 5 = A(2x + 5) + B(3x + 2) 6x + 17x - 14 14. 10x3 - 13x - 3 4. -32x - 13 = A(4x - 7) + B(2x + 8) 15. 6.x2 - 14x + 4 4x3 - 4x7 + x 10. 973 - 12x- + 4x In Problems 5-10, find constants A, B, C, and D so that the right side is equal to the left. 17. 10x + 4x + 3 9x- + 14 18. 5x + 7x + 6 A B C 28+x+x x+x+ 2x 19 4x - 5x2 + 6x - 5 2x - x2 + 1 1x 20. *+ 2x+1 + 8x + 16 6. x + 5x - 12 A B C (x + 1)(x - 3)2 x+1 x - 3 (x - 3)2 4x2 - 5x + 3 21. 22. 5x - 8x + 12 atx+ 2 2-x-4 C 8. 3x - 2x - 16 A Bx + C x (x + 4) x x+4 In Problems 23-26, decompose into a sum of a polynomial and partial fractions. 23. x - 4x - 16x + 40 28 + 2x4 - 6x 24. 10. 4x - 2x + 13 Ax + B Cx + D x - 2x - 8x + 16 x + 4x + 3 (x - x+4) 12-x+4 (1-x+4) 25. 28 - 7.x + 20x + 21 & + 2r + 3x - 14x 14 - 4x2 - 12x - 9 26. x - x - 4x - 4

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