Question

Factorise: X^4 + x^2 + 1​

Answer 1

QUESTION :

ANSWER :

=(x

=(x 2

=(x 2 )

=(x 2 ) 2

=(x 2 ) 2 +2(x

=(x 2 ) 2 +2(x 2

=(x 2 ) 2 +2(x 2 )(1)+1

=(x 2 ) 2 +2(x 2 )(1)+1 2

=(x 2 ) 2 +2(x 2 )(1)+1 2 −x

=(x 2 ) 2 +2(x 2 )(1)+1 2 −x 2

Answer 2

X⁴ + x² + 1

= x⁴ + 2x² + 1 − x²

= (x² + 1)² − x²

= (x² + 1 − x) (x² + 1 + x)

= (x² − x + 1) (x² + x + 1)