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If 5x + 7 \(\equiv\) P(x + 3) + Q(x - 1), find the value...

Further Mathematics
WAEC 2024

If 5x + 7 \(\equiv\) P(x + 3) + Q(x - 1), find the value of p

  • A. 3
  • B. 2
  • C. 1
  • D. 0
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Correct Answer: Option A
Explanation

5x + 7 \(\equiv\) P(x + 3) + Q(x - 1),

Put x = 1 

5(1) + 7 \(\equiv\)  P(1 + 4) + Q(1 - 1)

12 \(\equiv\) 4p + 0

P = \(\frac{12}{4}\) = 3


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