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Re: What is f(x) = x^3 + x^2 + 3x - 9 divided by g(x) = x - 3

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SlothyCode is not online. SlothyCode
Joined: 16 Aug 2012
Total Posts: 15420
16 Nov 2015 01:55 PM
Equate the polynomials:

(x - 3)(ax^2 + bx + c) + r = x^3 + x^2 + x - 9
x(ax^2 + bx + c) - 3(ax^2 + bx + c) + r = x^3 + x^2 + 3x - 9
ax^3 + bx^2 + cx - 3ax^2 - 3bx - 3c + r = x^3 + x^2 + 3x - 9
ax^3 + (b - 3a)x^2 - (c - 3b)x - 3c + r = x^2 + x^2 + 3x - 9


Solve for a, b and c:

ax^3 = x^3
a = 1

b - 3a = x^2
b - 3(1) = x^2
b - 3 = 1
b = 1 + 3
b = 4

c - 3b = 3x
c - 3(4) = 3
c - 12 = 3
c = 3 + 12
c = 15

r - 3c = -9
r - 3(15) = -9
r - 45 = -9
r = -9 + 45
r = 36


Answer: (x - 3)(x^2 + 4x + 15) + 36 = x^3 + x^2 + 3x - 9



right??? im practicing what i did in math today :/




dayum son she got that booty
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Devima is not online. Devima
Joined: 27 Aug 2011
Total Posts: 4607
16 Nov 2015 01:57 PM
im not wasting my lunch on this op, sorry
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SlothyCode is not online. SlothyCode
Joined: 16 Aug 2012
Total Posts: 15420
16 Nov 2015 01:58 PM
its not that difficult, i don't think anyway. just need confirmation.



dayum son she got that booty
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3eh is not online. 3eh
Joined: 24 Jul 2013
Total Posts: 3505
16 Nov 2015 01:59 PM
OP trying to impress C&G LOL
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SlothyCode is not online. SlothyCode
Joined: 16 Aug 2012
Total Posts: 15420
16 Nov 2015 02:05 PM
Please read what I said at the bottom of the thread relating to wanting to know if it's right, practicing and anything of the sort.

Mongrels like you make me doubt humanity 3eh.



dayum son she got that booty
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Apexian is not online. Apexian
Joined: 08 Jul 2013
Total Posts: 19249
16 Nov 2015 02:07 PM
yes practicing on c&g for attention because you are trying to look smart

news flash try a notepad
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WisdomRider is not online. WisdomRider
Joined: 15 Nov 2012
Total Posts: 5882
16 Nov 2015 02:10 PM
hmm... got a couple of questions out of curiosity


what class are you

are lim's, Bolzano's theorem, function generators, continuation of functions in intervals and the theorems included in your class's maths
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SlothyCode is not online. SlothyCode
Joined: 16 Aug 2012
Total Posts: 15420
16 Nov 2015 02:10 PM
Again, re-read what I said, I want confirmation for if this is right - my notepad can so talk to me and say "Hey man, you got it right".



dayum son she got that booty
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Apexian is not online. Apexian
Joined: 08 Jul 2013
Total Posts: 19249
16 Nov 2015 02:11 PM
ok if you come to clans and guilds for math assistance maybe you truly do need help
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SlothyCode is not online. SlothyCode
Joined: 16 Aug 2012
Total Posts: 15420
16 Nov 2015 02:11 PM
@Wisdom, I'm British, A-Level maths doing C1 (Core 1) at the moment.



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Polymorphic is online. Polymorphic
Joined: 15 Dec 2010
Total Posts: 8583
16 Nov 2015 02:12 PM
x-3=0
x=3 | 1 1 3 -9
0 3 12 45
1 4 15 36

h(x) = (x-3)(x^2 + 4x + 15) + 36

ya you're right
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LordIntense is not online. LordIntense
Joined: 01 Oct 2011
Total Posts: 24238
16 Nov 2015 02:12 PM
it's relatively easy just alt of work
but it seems right just simply fully
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abducted is not online. abducted
Joined: 17 Jul 2008
Total Posts: 2185
16 Nov 2015 02:13 PM
ur dumb if you come to C&G for help on this equation.
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SlothyCode is not online. SlothyCode
Joined: 16 Aug 2012
Total Posts: 15420
16 Nov 2015 02:13 PM
@Apexian, okay so what you're doing is generalising C&G as a whole when some people here can actually probably do this. Good job, idiot.



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Radooc is not online. Radooc
Joined: 20 Apr 2013
Total Posts: 3430
16 Nov 2015 02:14 PM
21
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SlothyCode is not online. SlothyCode
Joined: 16 Aug 2012
Total Posts: 15420
16 Nov 2015 02:16 PM
POLY TEACH ME THAT METHOD I HATE WRITING THIS OUT



dayum son she got that booty
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Banvax is not online. Banvax
Joined: 26 Jun 2012
Total Posts: 1872
16 Nov 2015 02:18 PM
slothy what poly did is just like synthetic division


|: Previously known as BanishedLegacy :| We got the acid rain for the pain :| Add 1.5k :|
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SlothyCode is not online. SlothyCode
Joined: 16 Aug 2012
Total Posts: 15420
16 Nov 2015 02:20 PM
I only started polynomials today, we went through equating and long dividing them.



dayum son she got that booty
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WisdomRider is not online. WisdomRider
Joined: 15 Nov 2012
Total Posts: 5882
16 Nov 2015 02:21 PM
what poly did is called the horner method [at least here]


it's one of the most usefull tools you will need ever in algebra and generally maths
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Polymorphic is online. Polymorphic
Joined: 15 Dec 2010
Total Posts: 8583
16 Nov 2015 02:22 PM
3 | a b c d
0 3a 3(b-3a) 3(c+3(b-3a))
a b+3a c+3(b-3a) d+3(c+3(b-3a))

always yields ax^(degree of numerator-1)+(b+3a)x^(degree of numerator-1) .. d+3(c+3(b-3a))
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SlothyCode is not online. SlothyCode
Joined: 16 Aug 2012
Total Posts: 15420
16 Nov 2015 02:23 PM
Time to ask my teacher about it tomorrow after Stats :Z



dayum son she got that booty
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Polymorphic is online. Polymorphic
Joined: 15 Dec 2010
Total Posts: 8583
16 Nov 2015 02:23 PM
(assuming x=3 for the denominator, and also i meant (b+3a)x^(degree of numerator-2))

(in your case, denominator is x-3; but x=3)
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Apexian is not online. Apexian
Joined: 08 Jul 2013
Total Posts: 19249
16 Nov 2015 02:24 PM
god i cant argue with you when your answers come from a middle school education level

bye
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FleskhjertaOwns is not online. FleskhjertaOwns
Joined: 15 Sep 2008
Total Posts: 18913
16 Nov 2015 02:24 PM
wolfram|alpha
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SlothyCode is not online. SlothyCode
Joined: 16 Aug 2012
Total Posts: 15420
16 Nov 2015 02:27 PM
"god i cant argue with you when your answers come from a middle school education level"

"middle school education"

Okay please do this "middle school education" maths.



dayum son she got that booty
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