Question

(a) Use the Fundamental Theorem of Algebra to determine the number of complex roots for 2x^2 + 3x + 5.

(A) 0
(B) 1
(C) 2
(D) 3

Answer 1

The Fundamental Theorem of Algebra can be used to determine the number of complex roots for a quadratic equation. In this case, the equation 2x^2 + 3x + 5 has 2 complex roots.

Step-by-step explanation:

The quadratic equation 2x^2 + 3x + 5 can be analyzed using the Fundamental Theorem of Algebra to determine the number of complex roots it has. The theorem states that a polynomial equation of degree n has exactly n complex roots, counting repeated roots. In this case, the equation is a quadratic, so it has 2 complex roots. Therefore, the answer to the question is (C) 2.