SOLUTION: how do you do the problem x^4-12x^2+11=0 when trying to factor the expression on the left side of each equation

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Question 855313: how do you do the problem x^4-12x^2+11=0 when trying to factor the expression on the left side of each equation
Found 2 solutions by ewatrrr, josgarithmetic:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
x^4-12x^2+11=0 factor (Note: )
(x^2 - 11)(x^2-1) = 0
Check factoring with FOIL
F First terms
O Outside terms
I Inside terms
L Last terms

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
The polynomial is in quadratic form. You can replace like, . The constant terms in each binomial factor will need to give product of 11 and sum of -12. The obvious and correct choice will be -1 and -11.


-
The solutions will be Real Numbers:
EITHER

or
OR


or

SUMMARY: possible solutions for x are -1, 1, -sqrt(11), sqrt(11)

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