Given the function f(x) = x3 − 18x2 + 107x − 210, what are the y-intercept and x-intercepts? show the work steps to find these intercepts

The y-intercept of the function is -210 and the x-intercepts of the function are 5,6,7.

Step-by-step explanation:

The given function is

To find y-intercept put x=0.

The y-intercept of the function is -210.

To find the x intercepts put f(x)=0.

For x=5, the above equation is true, therefore (x-5) is factor of the equation.

Use synthetic method to find the factors.

Use zero product property and equate each factor equal to zero.

Therefore the x-intercepts are 5, 6 and 7.