Consider p(s) = s³ + a₂s² + a₁s + a₀ with all real coefficients. It is known…

GATE · 2018 · EC · Electronics and Communication Engineering

Consider p(s) = s³ + a₂s² + a₁s + a₀ with all real coefficients. It is known that its derivative p′(s) has no real roots. The number of real roots of p(s) is

  1. A.

    0

  2. B.

    1

  3. C.

    2

  4. D.

    3

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