Factor the polynomial x⁴ - x³ - x² + x into a product of linear factors and quadratic factors having no real roots. A) x(x + 1)(x - 1)² B) x(x + 1)(x + 1)² C) x(x - 1)(x² - 1) D) (x²+ 1)(x - 1)² E) x(x - 1)(x + 1)²

Question

Quizplus · Accepted Answer

The polynomial can be factored as x(x - 1)(x² + 1). The quadratic factor x² + 1 has no real roots because it is always positive.

Factor the Polynomial X4 - X3 - X2 + X

Factor the Polynomial X⁴ - X³ - X² + X