Question

Factorise x power4 +x power 2 +1

Answer 1

Given Equation is x^4 + x^2 + 1

= > x^4 + 2x^2 - x^2 + 1

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

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

We know that (a^2 - b^2) = (a + b)(a - b)

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


Therefore, factorization of x^4 + x^2 + 1 = (x^2 + 1 + x)(x^2 + 1 - x).


Hope this helps!

Answer 2

X^4+x^2+1
x^2+x^2+x^2+1
x^2 (x^2+1) 1 (x^2+1)
(X^2+1)(x^2+1)