 A few basic factoring problems - XP Math - Forums Sign Up FREE! | Sign In | Classroom Setup | Common Core Alignment  XP Math - Forums A few basic factoring problems 01-16-2008 #1 suave9 Guest   Posts: n/a A few basic factoring problems I took a break for 2 semesters away from math and it has turned out to be a big mistake. I can't even remember basic factoring. I need an explanation on how to solve these problems or if you don't have the time, just solve them for me and i'll figure them out: Factor completely - 4w + 12 - zw - 3z 9r + 24t 2p(p is cubed) + 8p(p is squared) - 10p t(squared) - 100 b(cubed) - 27 Solve: z(squared) + 11z + 24 = 0 25x(x is squared) + 4 = 20x Thanks   01-21-2008 #2 favtbg Guest   Posts: n/a 4w + 12 - zw - 3z --this one you can factor by grouping. 4w + 12 - (zw + 3z) = 4(w + 3) - z(w + 3) = (4 - z)(w + 3) 9r + 24t --what is the Greatest Common Factor (GCF) of 9 and 24 answer: 3(3r + 8t) 2p(p is cubed) + 8p(p is squared) - 10p --factor p and 2 first since each term has a p and a 2 in common so you should have: 2p(p^2 + 4p - 5) Afterward, factor the second expression answer: 2p(p - 1)(p + 5) t(squared) - 100 --this is an expression of Difference of Square answer: (t - 10)(t + 10) b(cubed) - 27 --this is an expression of Difference of Cube answer: (b - 3)(b^2 + 3b + 9) Solve: z(squared) + 11z + 24 = 0 --find two factors of 24 that when you add them together you get 11 24 has factors of 8 and 3; 8 + 3 is 11 answer: (z + 8)(z + 3)=0 z = -8 or z = -3 25x(x is squared) + 4 = 20x --bring 20x to one side so you have the equation equal to zero 25x^2 - 20x + 4 = 0 (5x - 2)(5x - 2) = 0 x = 2/5 Hope that helps! Best regard Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Posting Rules You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is Off Forum Rules
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