Mathematics
When x3 + 3x2 - mx + 4 is divided by x - 2, the remainder is m + 3. Find the value of m.
Factorisation
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Answer
Given,
When x3 + 3x2 - mx + 4 is divided by x - 2, the remainder is m + 3.
∴ (2)3 + 3(2)2 - m(2) + 4 = m + 3
⇒ 8 + 12 - 2m + 4 = m + 3
⇒ 24 - 2m = m + 3
⇒ m + 2m = 24 - 3
⇒ 3m = 21
⇒ m = 7.
Hence, m = 7.
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