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22-03-2021
Mathematics

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Construct a polynomial function with the stated properties.

Third-degree, with zeros of −5, −3, and 1, and a y-intercept of −14.

Respuesta :

23-03-2021

Step-by-step explanation:

f(x) = a [x - (-2)] [x - (-1)] (x - 3)

with a ≠ 0.

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

Use f(4) = 10 to find a.

10 = a(4 + 2)(4 + 1)(4 - 3) = 30a

a = 1/3

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

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