Answer: (0,0) (12,0)
Explanation:
y=4x³-96x²+576x
Let y=0
Hence,
4x³-96x²+576x=0
Divide both parts of the equation by 4:
x³-24x²+144x=0
x(x²-24x+144x)=0
x=0
Thus, (0,0)
x²-24x+144=0
x²-2(x)(12)+12(12)=0
x²-2(x)(12)+12²=0
(x-12)²=0
x-12=0
x=12
Thus, (12,0)