QuestionHow many zeros does the function $f(x)=x(x-1)(2 x+4)^{2}$ have? (1 point) Options: 2, 4, 3.

Studdy Solution
Count the number of zeros, including repeated zeros. The factor $x$ gives us one zero at $x =0$. The factor $x -1$ gives us one zero at $x =1$. The factor $(2x +4)^{2}$ gives us two zeros at $x = -2$ (because it is squared, it counts twice).
So, the function $f(x)=x(x-1)(2x+4)^{2}$ has a total of1 +1 +2 =4 zeros.
The correct answer is4.