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If (x - 3)is a factor of 2x\(^3\) + 3x\(^2\) - 17x - 30, find the remaining...

Further Mathematics
WAEC 2025

If (x - 3)is a factor of 2x\(^3\) + 3x\(^2\) - 17x - 30, find the remaining factors.

  • A. (2x-5)(x-2)
  • B. (2x+5)(x-2)
  • C. (2x-5)(x+2)
  • D. (2x+5)(x+2)
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Correct Answer: Option D
Explanation

2x\(^2\) + 9x + 10 = 0

2x\(^2\) + 4x + 5x + 10 = 0

2x(x + 2) + 5(x + 2) = 0

(2x + 5)(x + 2) is the remaining factor.

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