Question

Determine the total number of roots for each polynomial function.

g(x) = 5x - 12/2 + 3

Answer 1

The polynomial function g(x) = 5x - 3 has a single root, which is x = 3/5.

Step-by-step explanation:

The polynomial function g(x) = 5x - 12/2 + 3 can be simplified to g(x) = 5x - 6 + 3, which is equivalent to g(x) = 5x - 3. To determine the total number of roots for this polynomial function, we need to find the values of x that make g(x) equal to zero. Setting g(x) = 0 and solving for x, we get:

1. 5x - 3 = 0
2. 5x = 3
3. x = 3/5

Therefore, the polynomial function g(x) = 5x - 3 has a single root, which is x = 3/5.