Question

For x7 – 2x6 + 3x2 – 2x + 5 = 0, state the number of complex roots, the possible number of real roots, and the possible rational roots.

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: ±5 over 2, ±1, ±5

7 complex roots; 1, 3, 5, or 7 real roots
possible rational roots: ±1, ±5

5 complex roots; 1, 3, or 5 real roots
possible rational roots: ±1, ±5