Mathematics
Find the value of 'm', if mx3 + 2x2 - 3 and x2 - mx + 4 leave the same remainder when divided by x - 2.
Factorisation
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Answer
x - 2 = 0 ⇒ x = 2.
Given,
mx3 + 2x2 - 3 and x2 - mx + 4 leave the same remainder when divided by x - 2.
∴ m(2)3 + 2(2)2 - 3 = (2)2 - m(2) + 4
8m + 8 - 3 = 4 - 2m + 4
8m + 2m = 8 - 8 + 3
10m = 3
m = .
Hence, m = .
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