yu6l1atriloveneci yu6l1atriloveneci
  • 21-11-2016
  • Mathematics
contestada

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 ...?

Respuesta :

Nirina7
Nirina7 Nirina7
  • 23-11-2016
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
Answer Link
louisjoy45
louisjoy45 louisjoy45
  • 19-02-2021

Answer:

C.

Step-by-step explanation:

x4 + 2x2 + 2 has no real roots

Answer Link

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