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If the polynomial \(f(x) = 3x^{3} - 2x^{2} + 7x + 5\) is divided by...

Further Mathematics
WAEC 2018

If the polynomial \(f(x) = 3x^{3} - 2x^{2} + 7x + 5\) is divided by (x - 1), find the remainder.

  • A. -17
  • B. -7
  • C. 5
  • D. 13
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Correct Answer: Option D
Explanation

\(f(x) = 3x^{3} - 2x^{2} + 7x + 5\). 

\(x - 1 = 0, x = 1\)

\(f(1) = 3(1)^{3} - 2(1)^{2} + 7(1) + 5 = 13\)


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