SOLUTION: How to factor8x^4-14x^2+3

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Question 1045631: How to factor8x^4-14x^2+3
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
.
How to factor 8x^4-14x^2+3
~~~~~~~~~~~~~~~~~~~~~~~ 

1.  Introduce new variable  u = .
    Then the polynomial takes the form  .

2.  Find the roots of the polynomial  .

    For it, solve the quadratic equation   = .

    Use the quadratic formula. You will get 

     =  = .

    So,   =   and   = .


3.  Hence, the quadratic polynomial    is

     =  = (2u-3)*(4u-1).

    Correspondingly,  the  original polynomial factorization is 

     = .


4.  Next, you can factor further each of the two factors above to get

     = .


It is what you were asking for.


Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

How to factor 8x^4-14x^2+3


 ------- Replacing 





 ------- Factoring  further 

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