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8 September, 23:07

Which of the following polynomials does not have real roots?

A. x2 - 17x - 7

B. - x4 + 4x2 + 6

C. x4 + 2x2 + 2

D. 2x2 - 13 ... ?

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Answers (1)
  1. 8 September, 23:20
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    The answer is x4 + 2x2 + 2,

    proof

    if a is a (real) is a root of x4 + 2x2 + 2, so

    a4 + a2 + 2 = 0, it is impossible, because a4>0, a2>0 and 2>0

    a4 + a2 + 2 must be >0, so x4 + 2x2 + 2 doesnt have real roots
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