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One of the factors of x³ - 27 is x - 3. What is the other factor?

One of the factors of x³ - 27 is x - 3. What is the other factor?
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2 votes
One of the factors of x³ - 27 is x - 3. What is the other factor?

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User Pocoa
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7.4k points

1 Answer

4 votes

Answer:

We know that, a³ - b³ = (a - b)(a² + ab + b²)

Now,

  • x³ - 27
  • (x)³ - (3)³
  • (x - 3)(x² + 3x + 9)

Therefore,

  • (x² + 3x + 9) is the other factor.
answered
User Pustovalov Dmitry
by
8.8k points
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