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Let P(x) = x2 + bx + c be a quadratic polynomial with real coefficients such that  leaves remainder 5 when it is divided by (x - 2). Then the value of 9(b + c) is equal to:
  • a)
    9
  • b)
    15
  • c)
    7
  • d)
    11
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Let P(x) = x2 + bx + c be a quadratic polynomial with real coefficient...

3b + 6 = 4 ...(1)
P(2) = 5
4 + 2b + c = 5
2b + c = 1 ...(2)
From (1) & (2),
b = 2/9 & c = 5/9
9(b + c) = 7
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Let P(x) = x2 + bx + c be a quadratic polynomial with real coefficients such thatleaves remainder 5 when it is divided by (x - 2). Then the value of 9(b + c) is equal to:a)9b)15c)7d)11Correct answer is option 'C'. Can you explain this answer?
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