Question

F(x)=(x-6)^2(x+2)^2
Need the total roots

Answer 1

4

Explanation:

To determine the total number of roots for the given function \(f(x) = (x - 6)^2(x + 2)^2\), you can look at the powers of the factors.

For each factor \((x - 6)^2\), there are two roots (because of the power 2).

For each factor \((x + 2)^2\), there are two roots as well.

So, the total number of roots for the function is \(2 + 2 = 4\).