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Given that (2x + 7) is a factor of \(2x^2 + 3x - 14\), find the other factor

Given that (2x + 7) is a factor of \(2x^2 + 3x - 14\), find the other factor
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  • A X + 2
  • B 2 - x
  • C X - 2
  • D X + 1
Correct Answer: Option C
Explanation:
\(2x^2 + 3x - 14\)
\(2x^2 + 7x - 4x - 14\)
\(x(2x + 7) - 2(2x + 7)\)
= \((x - 2)(2x + 7)\)
The other factor = (x - 2).

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