Step-by-step explanation:
If a polynomial in one variable having highest degree 4, then it has 4 roots or zeros.
The given polynomial x(x -3)(x +6)(x -7)= 0 is of degree 4. Therefore, it has 4 zeros as follows.
x - 0 = 0
So, x = 0 is the first zero.
x - 3 = 0
So, x = 3 is the second zero.
x + 6 = 0
So, x = -6 is the third zero.
x - 7 = 0
So, x = 7 is the fourth zero.
Thus, we can conclude that the four zero are 0, 3, -6, and 7.