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

Multiplicity of Roots

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Questions
Question 1
122871

The polynomial \(P(x)=x^3-6 x^2+9 x+k\) has a double root. Find the two possible values for \(k\) and all the roots for each value of \(k\).

\(\text { Roots are } 1,1,4\)

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