Yahoo Answers: Answers and Comments for Maths: polynomial graphs?.? [Mathematics]
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enUS
Wed, 28 Nov 2012 03:52:43 +0000
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Yahoo Answers: Answers and Comments for Maths: polynomial graphs?.? [Mathematics]
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https://answers.yahoo.com/question/index?qid=20121128035242AA0NlCS
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From anonymous: In reverse order,
b) The only zeros of f ar...
https://answers.yahoo.com/question/index?qid=20121128035242AA0NlCS
https://answers.yahoo.com/question/index?qid=20121128035242AA0NlCS
Wed, 28 Nov 2012 18:23:30 +0000
In reverse order,
b) The only zeros of f are where the factors equal zero, namely at x =  1 and x = 2

a) Since those are the only given factors, the polynomial (in unexpanded form) is :
p(x) = (x  2)^2 * (x + 1)
From there, choose simple values of x and make a quick table of points, plot them, and draw a smooth curve through them. (Which sounds easy enough, but the 'problem' with cubic functions like this one is that they grow quickly, and so you have to give thought to what scale to use on your graph. It's simple nowadays thanks to graphing calculators.)
x . . . . . . p(x)
 3 . . . . .  50
 2 . . . . .  16
 1 . . . . . . 0
0 . . . . . . . 4
1 . . . . . . . 2
2 . . . . . . . 0
3 . . . . . . . 4
4 . . . . . . . 20

Here's what it should look like:
(coordinate axes are not the same scale)
http://s1164.photobucket.com/albums/q561/iago9/?action=view¤t=math362.jpg