how do i factor the polynomial x^4-2x^2 1-a^2 by grouping?

how do i factor the polynomial x^4-2x^2 1-a^2 by grouping?

Willard2.08 years ago
Assuming that this is the equation that you were meaning, here is the factoring completed.    You could also factor out a -1 from the last two terms and rewrite as follows (  -(a^2-1)).

Willard
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kelseymh8 years ago
Treat "x2" as a unit by itself (that is, let y = x2, and rewrite your expression in terms of y. Now you can factor the quadratic. Finally, replace y with "x2" to present your result.
seandogue8 years ago
there's a small problem with your equation inbetween the 2x^2 and 1-a^2 terms which doesn't lead me to any decisions....