ericajh
ericajh ericajh
  • 24-03-2016
  • Mathematics
contestada

x^3 + 8 = (x+2)(____)
What do I have to multiply by (x+2) to get x^3 + 8

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Panoyin
Panoyin Panoyin
  • 24-03-2016
                  x² -  2x + 4
x + 2|x³ + 0x² + 0x + 8
        x³ + 2x²
               -2x² + 0x
               -2x² -  4x
                          4x + 8
                          4x + 8
                                  0

x³ + 8 = (x + 2)(x² - 2x + 4)
x³ + 8 = (x + 2)(x - 2)(x - 2)
x³ + 8 = (x + 2)(x - 2)²
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