Question

Use substitution to factor the polynomial completely. x⁴+x²-6

Answer 1

(x² + 3)(x² - 2)

Explanation:

given

`x^(4)` + x² - 6

use the substitution u = x² , then the expression can be expressed as

u² + u - 6

= (u + 3)(u - 2)

replacing u by x²

= (x² + 3)(x² - 2)