Question

How do you factor `x^4+4x^2-12=0`?

Answer 1

`(x - sqrt2)(x + sqrt2)(x^2 + 6)`

Explanation:

Cal `X = x^2`. Factor the quadratic function:
`f(x) = X2 + 4X - 12 = 0.`
Find 2 numbers knowing sum (+4) and product (-12). They are:
-2 and 6.
`f(x) = (X - 2)(X + 6) = (x^2 - 2)(x^2 + 6)`
`f(x) = (x - sqrt2)(x + sqrt2)(x^2 + 6)`