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

Roots and Coefficients

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Questions
Question 1
13963

The cubic polynomial \(P(x) = {x^3} + a{x^2} + bx + c\), where \(a\), \(b\) and \(c\) are real numbers has three real zeros, \(1\), \(\alpha \) and \(\dfrac{1}{\alpha }\). The value of \(a + b\) is?

\(0\)

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