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Mama L [17]
3 years ago
5

construct a polynomial function with the stated properties. third degree with zeros of -2,-1, and 3 and passes through the point

(2,12)
Mathematics
1 answer:
AfilCa [17]3 years ago
3 0

Answer:

f(x) =  - (x + 2)(x + 1)(x - 3)

Step-by-step explanation:

Let f(x) be the 3rd degree polynomial function.

The roots of this function are:

x=-2, x=-1 and x=3.

The factored form is:

f(x) = a(x + 2)(x + 1)(x - 3)

This equation passes through (2,12)

This implies that;

a(2 + 2)(2+ 1)(2 - 3) = 12 \\  - 12a = 12 \\ a =  - 1

The polynomial function is

f(x) =  - (x + 2)(x + 1)(x - 3)

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