Help solving 2x^4 + 5x^3 - 14x^2 -5x + 12 = 0

[Math wiz ya rite 09]

Solve for x: 2x^4 + 5x^3 - 14x^2 -5x + 12 = 0

I know you guys are pretty good at this, but could you please show the thought process.

THANKS!

 

[kryms3n]

hmm

do you know how to use synthetic division...

 

[stapel]

....could you please show the thought process.

My thought process:

* Apply the Rational Roots Test to get a list of potential zeroes.
* Do a quick graph in my calculator to narrow down the best bets.
* Plug the (best) potential zeroes into synthetic division.
* Once I've divided out two factors, apply the Quadratic Formula to what's left.

What is your thinking process? And how far have you gotten? Where are you stuck?

Please be specific. Thank you.

Eliz.

 

[Goistein]

First synthetic divide by 1.
1 | 2 5 -14 -5 12
_ 2 7 -7 -12
2 7 -7 -12 0
To get 2X^3+7X^2-7X-12.
Then find another value of x, divide, and use the quadratic formula.