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  • 28-05-2020
  • Mathematics
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3x^3-33x^2+72x
Factor this polynomial completely?​

Respuesta :

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zrh2sfo zrh2sfo
  • 28-05-2020

Answer:

3 x (x - 3) (x - 8)

Step-by-step explanation:

Factor the following:

3 x^3 - 33 x^2 + 72 x

Factor 3 x out of 3 x^3 - 33 x^2 + 72 x:

3 x (x^2 - 11 x + 24)

The factors of 24 that sum to -11 are -3 and -8. So, x^2 - 11 x + 24 = (x - 3) (x - 8):

Answer: 3 x (x - 3) (x - 8)

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