Respuesta :

mhanifa

Answer:

  • x³ - 11x² + 41x - 51

Step-by-step explanation:

The least number of degree is 3 and the third root should be (4 - i) to make polynomial rational.

The polynomial is:

  • (x - 3)(x - (4 + i))(x - (4 + i)) =
  • (x - 3)(x² -x(4 + i + 4 - i) + (4 + i)(4 - i)) =
  • (x - 3)(x² - 8x + 16 - (-1)) =
  • (x - 3)(x² - 8x + 17) =
  • x³ - 8x² + 17x - 3x² + 24x - 51 =
  • x³ - 11x² + 41x - 51

Otras preguntas