By Harley Flanders and Justin J. Price (Auth.)

ISBN-10: 012259665X

ISBN-13: 9780122596650

Algebra and Trigonometry

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**Extra info for Algebra and Trigonometry**

**Sample text**

2 Express as a single radical: (a) Y9VÏ 3 5 (b) Vr VrS C 8. Polynomials SOLUTION 31 (a) Convert to fractional exponents: i/§ V Î = 3 2/3 3~ 1/2 = 3 2 / 3 ~ 1 / 2 = 3 1 / 6 = \ß. SH>er (a) \^3 „9/4 = „2^1/4 = „2 ^ (b) rs2 ^/s. EXERCISES Compute: 1. 27 2/3 5. (IOOO)5/3 2. 64 3/2 3. 25" 1/2 4. 6. (1,000,000)5/6 7. 8. 001)"5/3. (ir Express as a power of 2: 9. 4 ^ 5 11. 8(16-2" 7/2 ) 10. (V2) 2 / 3 16"5/4 - (-§)- Simplify: 13. (25x4)-3/2 ,4 \ 3 / 4 15. U i2 14. ( - ~ ) 2 / 3 / 97/73 \ - 4 / 3 ; \v 18.

2x2 + 3x - 4)(y2 + Sy + 1) 44. (x + /)(x 2 + y2)(l + x) 46. (1 + x + y + xy + x2 + >>2)(1 + 2x + 3y + 2xy + x 2 ). 45. (x + 4yf 10. FACTORING Factoring is the process of expressing a polynomial as a product of polynomials of lower degree (factors). It is useful for simplifying algebraic expressions, for solving certain types of equations, and for numerical work. When we write JC2 + 5x + 6 = (x + 2)(x + 3), 10. Factoring we are factoring the left-hand side. If a given polynomial has integer coefficients, we generally look for factors with integer coefficients.

25x4)-3/2 ,4 \ 3 / 4 15. U i2 14. ( - ~ ) 2 / 3 / 97/73 \ - 4 / 3 ; \v 18. (*--3/2 (w) 17· 20. (xy2y^(x2y)-2^ 21. (8x V^) 5 / 3 22. (JC1/2+73/2)2 23. u1/3(2u2/3 - u~1/6) 24. 19. (^4/3^-2/3)3 (*4^~8)5/2 ^ - 2 16· L» 1/3 (8L> 6 )- 2/3 . Express in terms of at most a single radical: 25. y/2-yï 26. VT^ 29. ( - A ) * 30. VbVb 27. {tf/γϊό 28. -^2L 31. V^-V^-V^ 3 32. V^-V^'V^· Express without radicals, using only positive exponents: 33. d/xj2)-3'5 34. -s/{xy2)-w3/(x2y)-wt 35. (\/jc 14 y- 21/5 )- 3 / 7 36.

### Algebra and Trigonometry by Harley Flanders and Justin J. Price (Auth.)

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