Question

Penny says that the equation x³-8=0 has only one solution x=2. Use the fundamental theorem of algebra to explain to her why she is incorrect.

Answer 1

She is incorrect

Explanation:

The fundamental theorem of algebra states that if a polinomial has a degree n, therefore has n roots. To fidn these roots the use of complex number imay be necesary .

For the equation, degree is 3, so there are 3 solutions.