tag:blogger.com,1999:blog-30226356.post7065414553965553537..comments2024-02-16T23:32:12.073-08:00Comments on The Exponential Curve: Algebra 2: Factoring Trinomials (Part 1)Dan Wekselgreenehttp://www.blogger.com/profile/08696028020767073620noreply@blogger.comBlogger6125tag:blogger.com,1999:blog-30226356.post-7707083947508730562009-11-10T08:46:49.005-08:002009-11-10T08:46:49.005-08:00Yeah your puzzle is cool. So cool that I've c...Yeah your puzzle is cool. So cool that I've created a random generator in Adobe Flex.<br /><br />See <a href="http://davidwees.com/myblog/node/319" rel="nofollow">my algebra puzzle generator.</a>Davidhttps://www.blogger.com/profile/08098221991466148258noreply@blogger.comtag:blogger.com,1999:blog-30226356.post-28237599118345051722009-04-12T23:28:00.000-07:002009-04-12T23:28:00.000-07:00Nick, if you find any typos, please let me know, a...Nick, if you find any typos, please let me know, and I'll fix them right away. I hope the puzzle goes well for you.Dan Wekselgreenehttps://www.blogger.com/profile/08696028020767073620noreply@blogger.comtag:blogger.com,1999:blog-30226356.post-25461606446207805292009-04-12T22:44:00.000-07:002009-04-12T22:44:00.000-07:00Is it just me or are there a few typos here... A f...Is it just me or are there a few typos here... A few minutes later, I think it's just me. Well... I'm gonna give the puzzle a go, I'll report back on how it fares - thanks for offering it up.Nickhttp://www.ateacher.org/blog/noreply@blogger.comtag:blogger.com,1999:blog-30226356.post-87903185535078676772009-03-02T20:14:00.000-08:002009-03-02T20:14:00.000-08:00Yep, Grapher it is. It can be a bit of a pain to ...Yep, Grapher it is. It can be a bit of a pain to work with in certain ways, but it usually makes nice images.Dan Wekselgreenehttps://www.blogger.com/profile/08696028020767073620noreply@blogger.comtag:blogger.com,1999:blog-30226356.post-52959527171345526702009-03-02T20:05:00.000-08:002009-03-02T20:05:00.000-08:00Dan - I'm pretty sure I've at some point decided t...Dan - I'm pretty sure I've at some point decided that you use grapher to make your visuals. Like the little summary images you include with most posts - is that correct? They often look great. I can't get something as simple/nice in geogebra, and PSTricks is often the looooooooooooong way.Nickhttps://www.blogger.com/profile/03602490536012416208noreply@blogger.comtag:blogger.com,1999:blog-30226356.post-11553161329717999202009-02-25T16:03:00.000-08:002009-02-25T16:03:00.000-08:00here is a really simple way to "factor" ...here is a really simple way to "factor" trinomials (or solve them).<BR/><BR/>Consider: x^2+9x-22=0<BR/>Then,<BR/> x(x+9)=22<BR/>This says,<BR/> a pair of numbers differ by 9 and have a product of 22.<BR/><BR/>The two pairs that work are:<BR/> {9 and 11} and their opposites {-9 and 11}<BR/><BR/>We take the smaller of each pair since x is smaller than x + 9<BR/><BR/>Thus, x = 9 or -11.<BR/><BR/>The method really shines when the quadratic coefficient is not 1.<BR/><BR/>Example..<BR/><BR/> 6x^2-7x-5=0<BR/>By mult. by 6 and factoring we write..<BR/> 6x(6x-7)=5*6<BR/>-->differ by 7, product = 30<BR/>pairs are {10 and 3} and {-10 and -3)<BR/>6x is larger than 6x-7-->we take the larger.<BR/><BR/>x = 10/6 or -3/6<BR/><BR/>We divided by 6, since the pair represented 6x, not 6Anonymousnoreply@blogger.com