Question

For x^7-2x^6 + 3x^2 – 2x + 5 = 0, state the number of complex roots, the possible numberof real roots, and the possible rational roots
5 complex roots; 1, 3, or 5 real roots

possible rational roots: ±1, ±5

7 complex roots; 1, 3, 5, or 7 real roots

possible rational roots: ±1, ±5

7 complex roots; 2, 4, or 6 real roots

possible rational roots: ±1, ±5

5 complex roots; 1, 3, or 5 real roots

possible rational roots: ±, ±1, ±5

Answer 1

@mathmale

Answer 2

I know there are 7 Roots possible

Answer 3

What have you learned in the past that would help you address this problem?

what does "rational root" mean, and how would you go about identifying a "rational root" (or roots) ?

Answer 4

Are you familiar with synthetic division?

Answer 5

I am not too familiar with these types of problems

Answer 6

@mathmale

Answer 7

@iGreen

Answer 8

@pooja195