What are the roots of the polynomial equation?

Since the equation is already factored, we just need to consider the three cases:

 

To solve this problem, we need to understand that the product of zero and any number is equal to zero. 

 

Case 1: 3x = 0 

 

3x = 0 

x = 0 

 

Case 2: x + 4 =0

 

x + 4 = 0 

x= -4 

 

Case 3: x - 6

 

x - 6 = 0 

x = 6 

 

The three solutions are 0, -4, and 6. 

 

I hope this helped,

 

Gavin

3x(x+4)(x-6) = 0

x = 0 or x+4 = 0 or x-6 = 0

x = 0 or x = -4 or x = 6