# Math Help - Factoring

1. ## Factoring

Hello!

How can I solve it?

$(a^4 + a^2 + 1)$

2. Let $u = a^2$ so $a^4+a^2+1 = u^2+u+1$

If it can be factorised the discriminant will be a square number: $\Delta = b^2-4ac = 1^2- 4 \times 1 \times 1 = 1-4 = -3$. Since the discriminant is not a square number it cannot be factorised. In addition you will have complex solutions.

Use the quadratic formula to find u and then find a using the fact that $a = \pm \sqrt{u}$