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15. If x - 1 and x + 1 are factors of x³ - 2x² - x + 2, what is the other factor?

A. x + 3
B. x-3
C. x + 2
D. x - 2

WITH SOLUTION

(PLEASE ANSWER IT CORRECTLY)​


Sagot :

QUESTION:

If x - 1 and x + 1 are factors of x³ - 2x² - x + 2, what is the other factor?

SOLUTION:

  • (x³ - 2x²) - x + 2
  • x² (x - 2) - (x - 2)
  • (x - 2)(x² - 1)
  • (x - 2)(x² - 1²)
  • (x - 2)(x + 1)(x - 1)

ANSWER:

  • The other factor is x - 2.

Answer:

letter D. x - 2

Step-by-step explanation:

x³- 2x²- x + 2

= (x - 2)*(x - 1)*(x + 1)