Question

Find the x-intercepts of f(x)=3x ² (x−1).

a) x=0,x=1
b) x=0,x=−1
c) x=0,x=2
d) x=−1,x=1

Answer 1

The x-intercepts of the function f(x) = 3x^2(x-1) are x = 0 and x = 1.

Step-by-step explanation:

To find the x-intercepts of the function f(x) = 3x2(x-1), we set f(x) equal to zero and solve for x.

3x2(x-1) = 0

Using the zero-product property, we know that either 3x2 = 0 or (x-1) = 0.

Solving each equation:

3x2 = 0

x = 0

(x-1) = 0

x = 1

So, the x-intercepts are x = 0 and x = 1.