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Question
If the value of the polynomial m3 + 2m + a is 12 for m = 2, then find the value of a.
Solution
Let p(m) = m3 + 2m + a
For m = 2, p(2) = 12
∴ (2)3 + 2 × 2 + a = 12
⇒ 8 + 4 + a = 12
⇒ 12 + a = 12
⇒ a = 12 - 12 = 0
Thus, the value of a is 0.
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