Math 17 LE1 Answer Key (UP Eng'gSoc) Galvez

Math 17 LE1 Answer Key (UP Eng'gSoc) Galvez - UP...

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UP Engineering Society Mathematics 17: 1 st Long Exam Answer Key (Galvez) Building Bridges, Breaking Barriers special thanks to UP Mathematics Club and University Student Council note: any other approach of solution will do I. 1. Crap! 4. Crap! 2. Crap! 5. Awesome! 3. Crap! II. Factor Completely 1. 4 ? 2 − ? 2 + 2 ? − 1 = 4 ? 2 ( ? 2 2 ? + 1) = 4 ? 4 ( ? − 1) 2 = 2 ? 2 ±? − 1 ²³ [2 ? 2 + ±? − 1 ² ] = ´?µ ? µ + ¶· [ ? µ − ¶ ] 2. ± 9 ? 2 ¸ 3 − ¸ 5 ² − (72 ? 2 ¹ 3 8 ¸ 2 ¹ 3 ) = ¸ 3 ± 9 ? 2 − ¸ 2 ² − 8 ¹ 3 (9 ? 2 − ¸ 2 ) = ± 9 ? 2 − ¸ 2 ² ( ¸ 3 8 ¹ 3 ) = ( ?µ − º ) ±?µ + º²±º − ?»² ( º ? + ?»º + ? ) III. Do as indicated and simplify. 1. Find the Product a. ( ¸ 2 + ¼ 2 ) ½ ¸ ¼ 2 4 ¾ ( ¸ − ¼ 2 4 ) = ( ¸ 2 + ¼ 2 ) ½ ¸ 2 − ¼ 2 ¾ = º ? − ? b. ± ¸ 3 3 ¸ 2 ²± ¸ 2 + 9 ² ( ¸ + 3) = ¸ 2 ±¸ − 3 ²± ¸ 2 + 9 ² ( ¸ + 3) = ¸ 2 ± ¸ 2 + 9 ²± ¸ 2 9 ² = ¸ 6 81 ¸ 4 2. Long Division ? + ?º − ? ¸ 2 ¸ − 6 2 ¸ 4 + 5 ¸ 3 11 ¸ 2 20 ¸ + 12 (2 ¸ 4 + 2 ¸ 3 12 ¸ 2 ) 3 ¸ 3 + ¸ 2 20 ¸ ( 3 ¸ 3 + 3 ¸ 2 18 ¸ )
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