kaybae12323 kaybae12323
  • 25-01-2022
  • Mathematics
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Is x+2 a factor of x^3+8

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jimthompson5910 jimthompson5910
  • 25-01-2022

Answer: Yes it's a factor

Explanation:

Apply the sum of cubes factoring rule to get

a^3+b^3 = (a+b)(a^2-ab+b^2)

x^3+2^3 = (x+2)(x^2-x*2+2^2)

x^3+8 = (x+2)(x^2-2x+4)

The expression x^3+8 fully factors to (x+2)(x^2-2x+4), and (x+2) is one of those factors.

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