How many solutions does the following equation have?

Question

How many solutions does the following equation have?

2x⁴ - x³ + 5x² - 7x + 1 = 0

a. 0

b. 1

c. 2

d. 3

e. 4

f. impossible to tell based on the equation

Answer 1

Degree of this polynomial is 4. Because by fundamental theorem of algebra it must have 4 zeros over

set of complex numbers if we count each zero somany times as its multiplicity.