Question
Download Solution PDFIf x2 + ax + b, when divided by x - 5, leaves a remainder of 34 and x2 + bx + a, when divided by x - 5, leaves a remainder of 52, then a + b = ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFx2 + ax + b, when divided by x - 5, leaves a remainder of 34,
⇒ 52 + 5a + b = 34
⇒ 5a + b = 9 ----(1)
Again,
x2 + bx + a, when divided by x - 5, leaves a remainder of 52
⇒ 52 + 5b + a = 52
⇒ 5b + a = 27 ----(2)
From (1) + (2) we get,
⇒ 6a + 6b = 36
⇒ a + b = 6Last updated on Jun 11, 2025
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