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Find the roots of x\(^3\) - 19x - 30=0

Mathematics
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Find the roots of x\(^3\) - 19x - 30=0

  • A. -5, 3, and 2
  • B. 5, 3, and -2
  • C. 5, -3 and -2
  • D. -5, -3 and 2
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Correct Answer: Option C
Explanation

x\(^3\) - 19x - 30

 test x = 5
5\(^3\)  −19(5) − 30 = 125 − 95 − 30 = 0

(x - 5) is a factor.

x\(^3\) - 19x - 30 divided by (x - 5) = x\(^2\) + 5x + 6 

factorizing x\(^2\) + 5x + 6, we have (x+2)(x+3)

(x+2)(x+3)(x - 5) = 0 

x = -2, -3, and 5.

There is an explanation video available below.


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Explanation Video

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