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Solving equation

I've got equation x^4+4x^3-10x^2-28x-15=0
Online calculator factors it into three terms:
(x-3)(x+1)^2(x+5)=0
Ho do I do that?
Reply 1
I think you factorize the equation by using the Horner's method!
Original post by sampets10
I've got equation x^4+4x^3-10x^2-28x-15=0
Online calculator factors it into three terms:
(x-3)(x+1)^2(x+5)=0
Ho do I do that?


Use the factor theorem (or the table of values function on your calculator).
Reply 3
It is like that:
15 can be divided by +1, -1,+3,-3,+5,-5,15 and -15.
For example we use the Horner's method with -1,because if you subtitute -1 at your equation it equals to 0.
Then,the equation is written (x+1) (x3+3x2+13x15x^3+3x^2+13x-15 )=0.
Now,you should use the Horner's method at this equation: x3+3x2+13x15=0x^3+3x^2+13x-15 =0,using the appropriate root.Can you continue or shall I explain it further?
Reply 4
Original post by evinda
It is like that:
15 can be divided by +1, -1,+3,-3,+5,-5,15 and -15.
For example we use the Horner's method with -1,because if you subtitute -1 at your equation it equals to 0.
Then,the equation is written (x+1) (x3+3x2+13x15x^3+3x^2+13x-15 )=0.
Now,you should use the Horner's method at this equation: x3+3x2+13x15=0x^3+3x^2+13x-15 =0,using the appropriate root.Can you continue or shall I explain it further?

You would be an angel if you explaned this, cuz i don't get it:biggrin:
Original post by sampets10
You would be an angel if you explaned this, cuz i don't get it:biggrin:


Hmmm I note you are a new poster. Welcome.

Who should you listen to, the person with 5 posts or the person with 18,975 posts?
Reply 6
Thank you all, now I understand it :smile:
Reply 7
Ok, now i have got the next one, and i don't get this either.
x^4+12x^3+8x^2+84x-9=0
With the factor theorem i am stuck on the first divider
Original post by sampets10
Ok, now i have got the next one, and i don't get this either.
x^4+12x^3+8x^2+84x-9=0
With the factor theorem i am stuck on the first divider


There are no linear factors. Where did you get this question from? Are you sure you have typed it in correctly?
Reply 9
Original post by Mr M
There are no linear factors. Where did you get this question from? Are you sure you have typed it in correctly?

Well, the equation in book is like this: (x^2+6x)^2+8(x^2+6x)=9
Original post by sampets10
Well, the equation in book is like this: (x^2+6x)^2+8(x^2+6x)=9


Have you considered making a substitution?

Spoiler

Original post by sampets10
Well, the equation in book is like this: (x^2+6x)^2+8(x^2+6x)=9


You shouldn't expand this but, if you were foolish enough to do so, you would obtain:

x4+12x3+44x2+48x9=0x^4+12x^3+44x^2+48x-9=0
Reply 12
Original post by Mr M
Hmmm I note you are a new poster. Welcome.

Who should you listen to, the person with 5 posts or the person with 18,975 posts?


I have only made 1922 posts so if we disagree (as if that would ever happen :tongue:) must I be wrong?
Original post by BabyMaths
I have only made 1922 posts so if we disagree (as if that would ever happen :tongue:) must I be wrong?


"Treat advice with extreme caution" is only automatically applied to a newbie's first 100 posts.

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