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Year 11 (2026) Maths Extension 1 (2026) Polynomials

Multiplicity of Roots

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Questions
Question 1
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HSC 2023 - Question 14b

i) The zeros of \(P(x)=x^4-2 c x^3+1\) are the \(x\)-coordinates of the points of intersection.

ii) \(c=\dfrac{2}{\sqrt[4]{27}} \quad c>0\)