NSEJS · Mathematics

Polynomials

Degree, zeros, factorisation, remainder theorem, factor theorem and identities.

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  • Q1 · Polynomials · MEDIUM

    If α and β are the zeroes of the polynomial p(x) = 2x² – 5x + 3, then the value of (1/α) + (1/β) is:

  • Q2 · Polynomials · HARD

    A cubic polynomial p(x) = x³ – 6x² + 11x – 6 has three zeroes. If two of the zeroes are 1 and 2, then the third zero is:

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