One zero of x^3-3x^2-6x+8=0 is -2 What are the other zeros of the function?

Question

One zero of x^3-3x^2-6x+8=0 is -2 What are the other zeros of the function?

Answer 1

If -2 is a zero, then we can use synthetic division to find the other factors and zeros.

 

-2 | 1    -3     -6       8

 

            -2     10     -8

___________________

      1    -5       4      0

 

 

(x + 2)(x² - 5x + 4) = 0

(x + 2)(x - 4)(x - 1) = 0

 

Then using the quadratic factor, we see that the other zeros are 1 and 4.