Determine the number of solutions of the equation in the complex number system. 8x³ + 9x + 10 = 0 A)8x³ + 9x + 10 = 0 has degree 8 so there are three solutions in the complex number system. B)8x³ + 9x + 10 = 0 has degree 3 so there are three solutions in the complex number system. C)8x³ + 9x + 10 = 0 has degree 9 so there are no solutions in the complex number system. D)8x³ + 9x + 10 = 0 has degree 8 so there are no solutions in the complex number system. E)8x³ + 9x + 10 = 0 has degree 9 so there are three solutions in the complex number system.

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Quizplus · Accepted Answer

The degree of a polynomial equation is the highest power of x in the equation. The notation seems to be a bit mixed up, but assuming it's trying to represent a polynomial, the degree is the most important factor in determining the number of solutions. According to the Fundamental Theorem of Algebra, a polynomial of degree n has exactly n solutions in the complex number system. Therefore, if the equation is said to have degree 3, it must have three solutions in the complex number system.

Determine the Number of Solutions of the Equation in the Complex