Question

What are the zero(s) of x(2– 24x)= 0?

A) 0, 1/12
B) 1/12 only
C) 0, 12
D) 12 only

Answer 1

The zero(s) of the function x(2 - 24x) = 0 are 0 and 1/12, corresponding to setting each factor in turn equal to zero and solving for x.

Step-by-step explanation:

To find the zero(s) of the function given by x(2 - 24x) = 0, we will set each factor equal to zero and solve for x. This is because if any factor of a product is zero, then the entire product is zero.

Firstly, we have a factor of x, so setting that equal to zero gives us:

1. x = 0

Secondly, we have the factor (2 - 24x), and setting that equal to zero gives us:

1. 2 - 24x = 0
   24x = 2
   x = 2/24
   x = 1/12

Therefore, we have two zeroes for the function: 0 and 1/12. The correct answer is A) 0, 1/12.