Algebra: An Elementary Text-Book for the Higher Classes of by George Chrystal

By George Chrystal

This Elibron Classics booklet is a facsimile reprint of a 1904 variation via Adam and Charles Black, London.

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Additional info for Algebra: An Elementary Text-Book for the Higher Classes of Secondary Schools and for Colleges. Part 1

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2 x 1 (b) + 3 (x- l)(x+2) 2 . Y* + 4 3 . ~ -1 + 4). Am. (a) I ( x - I )(s + 1 ) ' ' h * + 3 ( x - I ) ( x + 1) 5 (@ 3 x-l x-2 x+2 - x + 4 (6)(x2 - 3x + 2) . 14. Perform indicated operations: I (x+ l)(X+2) (c) x3 - 6x2+ 8x (6) 7 x 3 + 5 x 2 + 3 6 x + 12 2x3-5x2+ 1iX-21 ; x'- 16 ; (c) (x2+4)2 (4 x2-2x+ X 1 27 RATIONAL AND RADICAL EXPRESSIONS CHAP. 15. Write as a simple fraction in lowest terms: 1 (a) . 16. Write in simplest radical form: ( a ) Am. 17. Rationalize the denominator: ( a ) - (b) Am.

1 = P 4 f . 16. Solve s = : g t 2 - vot + so for t. This equation is quadratic in r, the specified variable. Get the equation into standard form for quadrat ic equations : s = ~I g t 2 - V o r + S o ~1 g t * - v o r + s o - s = 0 Now apply the quadratic formula with U = ;g, 6 = -vo, c = so - s. CHAP. 17. $9000 is to be invested, part at 6% interest, and part at 10% interest. How much should be invested at each rate if a total return of 9% is desired? Use the formula I = Prt with t understood to be one year.

Y* + 4 3 . ~ -1 + 4). Am. (a) I ( x - I )(s + 1 ) ' ' h * + 3 ( x - I ) ( x + 1) 5 (@ 3 x-l x-2 x+2 - x + 4 (6)(x2 - 3x + 2) . 14. Perform indicated operations: I (x+ l)(X+2) (c) x3 - 6x2+ 8x (6) 7 x 3 + 5 x 2 + 3 6 x + 12 2x3-5x2+ 1iX-21 ; x'- 16 ; (c) (x2+4)2 (4 x2-2x+ X 1 27 RATIONAL AND RADICAL EXPRESSIONS CHAP. 15. Write as a simple fraction in lowest terms: 1 (a) . 16. Write in simplest radical form: ( a ) Am. 17. Rationalize the denominator: ( a ) - (b) Am. 18. 19. Write as a simple fraction in lowest terms.

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