A(t) = (t – k)(t - 3)(t - 6)(t + 3) is a polynomial function of t, where k is a constant.
Given that a(2) = 0, what is the absolute value of the product of the zeros of a?

the absolute value of the product of the zeros of a is .

Step-by-step explanation:

Here we have , is a polynomial function of t, where k is a constant.  Given that a(2) = 0 . We need to find the  absolute value of the product of the zeros of a . Let's find out:

Equation every factor of a(t) to zero we get:

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But , t=2 So ,  . Now , the absolute value of the product of the zeros of a is :

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Therefore, the absolute value of the product of the zeros of a is .

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step-by-step explanation: