The zeroes of the function will be 0, 2, and -6. Then the correct option is A.
What are the roots of the polynomial?
The polynomial is given below.
[tex]\rm f(x) = a_0x^n + a_1 x^{n - 1}+ ....+ a_{n-2}x^2 + a_{n-1}x + a_nx^0[/tex]
The roots of the polynomial are equal to n or less than n.
The function is given below.
y = x(x-2)(x+6)²
Substitute each factor equal to zero. Then the zeroes of the function will be
x = 0
x – 2 = 0
x = 2
(x + 6)² = 0
x + 6 = 0
x = -6
Then the zeroes of the function will be 0, 2, and -6.
Then the correct option is A.
More about the roots of the polynomial link is given below.
https://brainly.com/question/1514617
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