Answer:
The zeros are : 0, 3, -6, 7.
Step-by-step explanation:
Zeros of a polynomial is the values at which the polynomial becomes zero. They are also called the roots of the polynomial.
When (x - a)(x - b) = 0, we can say that either (x - a) = 0 or (x - b) = 0. At least one zero renders the whole equation to be zero.
Now, we are given that: x. (x - 3). (x + 6). (x - 7) = 0
⇒ To make the equation zero, at least one of the following should be true:
x = 0
x - 3 = 0 ⇒ x = 3
x + 6 = 0 ⇒ x = -6
x - 7 = 0 ⇒ x = 7
Therefore, x can take any one of the above values and that would make the polynomial zero.
