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Question
Find the value of m ·when x3 + 3x2 -m x +4 is exactly divisible by (x-2)
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Solution
x - 2 = 0 ⇒ x = 2 and remainder is 0
Substituting this value , we get :
f (2) = 2 × 2 × 2 + 3 × 2 × 2 - m × 2 + 4 = 0
⇒ 2m = 24
⇒ m = 12
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