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 ... ?

Question

Mathematics

Aubrie Mills

30 April, 05:09

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 ... ?

+4

Answers (1)

Know the Answer?

Leroy Jefferson · Answer 1

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

Which of the following polynomials does not have real roots?A. x2 - 17x - 7B. - x4 + 4x2 + 6C. x4 + 2x2 + 2D. 2x2 - 13 ... ?

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 ... ?