Question:medium
Let \( p(x) \) be a real polynomial of least degree which has a local maximum at \( x = 1 \) and a local minimum at \( x = 3 \). If \( p(1) = 6 \) and \( p(3) = 2 \), then \( p'(0) \) is equal to:
Let \( p(x) \) be a real polynomial of least degree which has a local maximum at \( x = 1 \) and a local minimum at \( x = 3 \). If \( p(1) = 6 \) and \( p(3) = 2 \), then \( p'(0) \) is equal to:
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When a polynomial's derivative has simple roots at given points, assume a factored form for \( p'(x) \) and integrate to find \( p(x) \).
Updated On: Nov 28, 2025
- \( 8 \)
- \( 9 \)
- \( 3 \)
- \( 6 \)
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