Question
What are the zeros of f(x) = 2x(3x+2)^2 (2 points)
Answers
Answered by
GPT 3.5
To find the zeros of the function f(x) = 2x(3x+2)^2, we set f(x) equal to zero and solve for x.
2x(3x+2)^2 = 0
We can see that the expression will be zero if either 2x = 0 or (3x+2)^2 = 0.
1) If 2x = 0, then x = 0.
2) If (3x+2)^2 = 0, then 3x+2 = 0.
Solving for x, we get:
3x = -2
x = -2/3.
Therefore, the zeros of f(x) = 2x(3x+2)^2 are x = 0 and x = -2/3.
2x(3x+2)^2 = 0
We can see that the expression will be zero if either 2x = 0 or (3x+2)^2 = 0.
1) If 2x = 0, then x = 0.
2) If (3x+2)^2 = 0, then 3x+2 = 0.
Solving for x, we get:
3x = -2
x = -2/3.
Therefore, the zeros of f(x) = 2x(3x+2)^2 are x = 0 and x = -2/3.