Factor completely: x4+x2- 2?

Question

the big numbers are exponents. Thanks

Answer 1

x^4 + x² - 2

Since you only have even powers, it's easiest if you replace with x² with k.

This becomes:
k² + k - 2

(k - 1)(k + 2)

Now replace x² back in:
(x² - 1)(x² + 2)

Now notice you have a difference of squares, so you can factor the first part as (x - 1)(x + 1)...

The final answer is:
(x - 1)(x + 1)(x² + 2)

Answer 2

x^4+x^2 - 2
= (x^2+2)(x+1)(x-1)

Answer 3

x^4+x^2-2 = (x-1)(x+1)(x^2+2)

Answer 4

(x^2 - 1) (x^2 +2)

Answer 5

sorry, the BIG numbers?? Just for future reference, exponents are written with the ^ sign

so I can't se any big numbers, but is your question

x^4+x^2 -2

then I think this would be factored as

x^2(x^2+1)-2

Answer 6

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