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When the expression pm2 + qm + 1 is divided by (m - 1), it...

Mathematics
JAMB 1998

When the expression pm2 + qm + 1 is divided by (m - 1), it has a remainder is 4, Find p and q respectively

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

pm2 + qm + 1 = (m - 1) Q(x) + 2

p(1)2 + q(1) + 1 = 2

p + q + 1 = 2

p + q = 1.....(i)

pm2 + qm + 1 = (m - 1)Q(x) + 4

p(-1)2 + q(-1) + 1 = 4

p - q + 1 = 4

p - q = 3....(ii)

p + q = 1, p - q = -3

2p = -2, p = -1

-1 + q = 1

q = 2


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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free