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Question
Using remainder theorem, find the value of m if the polynomial f(x)= x3 + 5x2 -mx +6 leaves a remainder 2m when divided by (x-1),
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Solution
x - 1 = 0 ⇒ x = 1 and remainder is 2 m
Substituting this value, we get :
f(x) = 1 × 1 × 1 + 5 × 1 × 1 - m × 1 + 6 = 2m
⇒ 3m = 12
⇒ m = 4
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