The book First Course in Algebra was written by author Herbert E Herbert Edwin Hawkes Here you can read free online of First Course in Algebra book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is First Course in Algebra a good or bad book?
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Solve for y, i/m — 2/ = m^ — 4 m + 3. 26. Solve for ^, r^ + r = r^ + 5 « — 20. 27. Solve for r, ar -j- Sac — a^ = 2cr -{- 2 c^. 28. Solve for 6-, 2 as -{- a^ -^ a'^ = 6 a^ -\- ah. 64. The general quadratic trinomial. The type form is For many trinomials of this type, two binomial factors of the form (hx + ^) (mx + ri) may be found. The method of factoring such trinomials is illustrated in the following: EXAMPLES 1. Factor 2x^ -{-5x-^S. Solution. 2 a;2 + 5 a: + 3 = (?:r + ?) (?x + ?). T^^>>^ ^2)... To get the proper factors we must supply 2 ^r^ + ? x such numbers for the interrogation points in _j_ ? a; + 3 (1) and in (2) as will give (3). 2x^ +bx + 3 (3) 2 x^ for the product of the first two terms of the binomials, + 3 for the product of the last two terms of the binomials, and + 5 a; for the sum of the cross products. Now 2 x'^ = 2 X ' Xy and +3 = 1. 3. FACTORING 131 The factors 1 and 3 may be substituted for the interrogation points in (1) and (2) in either of the following ways: 3, 4.
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