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Which of the following is a factor of 15 + 7x - 2x2

Which of the following is a factor of 15 + 7x - 2x2
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  • A X + 3
  • B X - 3
  • C X - 5
  • D X + 5
Correct Answer: Option C
Explanation:
Factorize 15 + 7x - 2x2
(5 - x)(3 + 2x); suppose 15 + 7x = 2x2 = 0
∴ (5 - x)(3 + 2x) = 0
x = 5 or x = -\(\frac{3}{2}\)
Since 5 is a root, then (x - 5) is a factor

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