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Year 12 Maths Extension 1 (2027) Further applications of calculus

Multiplicity of zeroes via calculus (P′ multiplicity, behaviour at roots)

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Questions
Question 1
182807

If \(\alpha\) is a zero of \(P(x)\) of multiplicity \(m\) (where \(m>1\)), then \(\alpha\) is a zero of \(P'(x)\) of multiplicity:

A.
\(m-1\)
B.
\(m\)
C.
\(m+1\)
D.
\(1\)
\(m-1\)

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