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  • 22-02-2022
  • Mathematics
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X+2 is a factor of x^3- kx^2 +3x+7k. Find the value of k.

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jimthompson5910 jimthompson5910
  • 22-02-2022

Answer:  k = 14/3

Explanation:

If x+2 is a factor of the other polynomial mentioned, then x = -2 is a root of that polynomial.

This means plugging x = -2 into the cubic expression will have it result in zero.

x^3- kx^2 +3x+7k = y

(-2)^3- k*(-2)^2 +3*(-2)+7k = 0

-8 - 4k - 6 + 7k = 0

3k - 14 = 0

3k = 14

k = 14/3

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