NSTSE · Mathematics

Polynomials

Zeroes, relationship with coefficients, division algorithm, factor theorem.

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  • Q1 · Polynomials · MEDIUM

    If α and β are the zeros of the polynomial x² - 5x + 6, then α + β equals:

  • Q2 · Polynomials · EASY

    If p(x) = x² - 5x + 6, then p(2) equals:

  • Q3 · Polynomials · EASY

    What is the degree of the polynomial 5x³ + 4x² - 7x + 9?

  • Q4 · Polynomials · HARD

    If one zero of the polynomial (k² + 4)x² + 13x + 4k is reciprocal of the other, then k equals:

  • Q5 · Polynomials · MEDIUM

    If α and β are the zeros of the polynomial p(x) = 3x² - 7x + 2, then the value of (1/α + 1/β) is:

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