How to factor

Step 9 Factoring further: irrationals and imaginaries

Binomials number without a perfect root being subtracted from a squared variable like (x^² - 2) can be factored further using square roots. (x + sqrt (2)) (x - sqrt (2)). This brings in the irrational set of numbers.

Binomials with a number added to a squared variable like (x^{^2} + 1) can be factored further using imaginary numbers. "i" stands for the square root of negative one. So (x^{^2} + 1) can be factored into (x + i) (x - i). This brings in the imaginary set of numbers.