Question

Factorize x^4 + x² +1

Answer 1

Factorise this expression using the difference of squares: 

f(x) = x⁴ + x² + 1 

f(x) = (x² + 1)² - x² 

f(x) = (x² + 1 - x)(x² + 1 + x) 

f(x) = (x² - x + 1)(x² + x + 1) 

f(x) = (x² + x + 1)(x² - x + 1)

Answer 2

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