Question

x⁴ +x² +1 factorise​

Answer 1

Answer:

It is certainly possible over the real numbers, because in this setting the only nonlinear irreducible polynomials have degree two (and negative discriminant).

The simplest way is to complete a square:

x4+x2+1=x4+2x2+1−x2=(x2+1)2−x2=(x2+1−x)(x2+1+x)=(x2−x+1)(x2+x+1)

Answer 2

Step-by-step explanation:

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