Answer:
Four
Step-by-step explanation:
The degree of a polynomial is the highest of the degree of the monomials with non-zero co-efficient. In this problem we are given the polynomial:
[tex]$ x^4 + ax^3 + bx^2 + cx + d = 0 $[/tex]
The degree of the polynomial is 4.
For a polynomial of n- degree we have n solutions counting multiplicity.
So for this four degree polynomial we would have 4 solutions. Could be real or complex depending on the equation.