15sophie15 15sophie15
  • 25-06-2020
  • Mathematics
contestada

rewrite x^2+9 as a product using complex numbers and the polynomial identity below

Respuesta :

jimrgrant1 jimrgrant1
  • 25-06-2020

Answer:

(x + 3i)(x - 3i)

Step-by-step explanation:

Express x² + 9 as a difference of squares which factors in general as

a² - b² = (a + b)(a - b), thus

x² + 9

= x² - (3i)²

= (x + 3i)(x - 3i)

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