Question

x^4+x^2+1 factorise

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Answer 1

Answer:

hoooooooooooooooooooooooooooo

Answer 2

Answer:

We have

x4+x2+1=(x2+1)2–2x2+x2=(x2+1)2−x2

=(x2+1−x)(x2+1+x) (of the form A2−B2 )

And in C

x4+x2+1=(−x+ω−1)(ω−x)(x+ω−1)(x+ω)

where ω=eiπ/3

or

most simply it can be factorised as

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

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

hope this helps you

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