Explanation: 
Another Explanation (5):
bài 🧐 giải:
বহুপদী \(p(x) = x^3 + 6x^2 - ax + 6\) কে \(x - 2\) দিয়ে ভাগ করলে ভাগশেষ 6 হয়। সুতরাং, ভাগশেষ উপপাদ্য (Remainder Theorem) অনুসারে, \(p(2) = 6\) হবে।
এখন, \(x = 2\) বসালে পাই,
\[
p(2) = (2)^3 + 6(2)^2 - a(2) + 6
\]
\[
\implies 6 = 8 + 6 \times 4 - 2a + 6
\]
\[
\implies 6 = 8 + 24 - 2a + 6
\]
\[
\implies 6 = 38 - 2a
\]
\[
\implies 2a = 38 - 6
\]
\[
\implies 2a = 32
\]
\[
\implies a = \frac{32}{2}
\]
\[
\implies a = 16
\]
অতএব, \(a = 16\)। 🎉
