Question

Show all work to factor x⁴ − 10x² + 9 completely. a) (x² - 9) (x² - 1) b) (x² + 9) (x² - 1) c) (x² - 9) (x² + 1) d) (x² + 9) (x² + 1)

Answer 1

The expression x⁴ − 10x² + 9 can be factored completely as (x² - 9)(x² - 1).

Step-by-step explanation:

To factor the expression completely, we can start by factoring out common factors. The expression can be rewritten as (x² - 9)(x² - 1). Both factors are quadratic expressions that cannot be factored any further, so the answer is a) (x² - 9)(x² - 1).