Question

< EES Decompose the polynomial ³ - 2x² - 5x + 6 into its linear factors, given that - 1 is a factor (1 point)​

Answer 1

(x + 2) (x − 3) (x − 1)

Explanation:

x³ − 2x² − 5x + 6

Given that x−1 is a factor, use grouping:

x³ − x² − x² − 5x + 6

x³ − x² − (x² + 5x − 6)

x² (x − 1) − (x + 6)(x − 1)

(x² − x − 6) (x − 1)

(x + 2) (x − 3) (x − 1)