Question

How many complex roots does the polynomial equation below have?

x^7 - 3x^5 + 4x^2 - 1 = 0 (where the ^ represents to the power of)

A. 2
B. 4
C. 5
D. 7

Answer 1

The number of complex roots from the given polynomial equation x⁷ - 3x⁵ + 4x² - 1 = 0 is 7. The answer is letter D. On of the basis of theorem of algebra gives us that a real number coefficient of a polynomial can be completely factored over numbers. You can determine the number of roots by the exponent of the first term, that is, x⁷.