Math Problem Statement
একটি বহুপদী দেওয়া আছে f(x) = x^4 - 6x^3 + 11x^2 - 6x + 1।
প্রশ্ন:
(i) এই বহুপদীর সব শূন্যগুলি নির্ণয় করুন।
(ii) যদি g(x) = f(x^2 - 2) তবে g(x)-এর সর্বনিম্ন মান কত?
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomials
Synthetic Division
Derivative
Formulas
f(x) = x^4 - 6x^3 + 11x^2 - 6x + 1
g(x) = f(x^2 - 2)
Derivative to find minimum or maximum values
Theorems
Rational Root Theorem
Synthetic Division
Derivative-based minimum or maximum calculation
Suitable Grade Level
Grades 10-12
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