Question

Use the fundamental theorem of algebra to solve ( (x+5)^8 ).

A. ( x = -5 ).

B. ( x = 5 ).

C. ( x = 0 ).

D. ( x = pm √(5) ).

Answer 1

To solve the equation ((x+5)^8), we can use the fundamental theorem of algebra. Since the exponent is 8, the equation has 8 solutions. The roots of the equation are x = -5.

Step-by-step explanation:

To solve the equation ((x+5)^8), we can use the fundamental theorem of algebra. According to the theorem, any polynomial equation of degree n has exactly n solutions. Since the exponent of (x+5) is 8, the equation has 8 solutions.

In this case, the roots of the equation are x = -5. So, the correct answer is A. (x = -5).