Factor 2x^4+23x^3+91x^2+136x+48
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Factor 2x^4+23x^3+91x^2+136x+48

[From: ] [author: ] [Date: 12-04-28] [Hit: ]
-The negative product of the roots is always the constant term (i.The negative sum of the roots is always equal to the second coefficient divided by the leading coefficient (ie. 23/2 = 11.http://en.wikipedia.http://www.......
please help, I cannot figure out how to factor this. the answer is:
(2x+1)(x+3)(x+4)(x+4). but how?

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The negative product of the roots is always the constant term (i.e 48)
The negative sum of the roots is always equal to the second coefficient divided by the leading coefficient (ie. 23/2 = 11.5)
http://en.wikipedia.org/wiki/Descartes'_…
http://www.purplemath.com/modules/synthd…

Use Descartes' rule of signs to see how many positive/negative roots you have.
Use synthetic division (see purplemath link), to check potential roots.
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keywords: 23,Factor,136,48,91,Factor 2x^4+23x^3+91x^2+136x+48
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