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Harlamova29_29 [7]
3 years ago
8

Find the polynomial function with the following roots: -2 of multiplicity 2; and 3.

Mathematics
1 answer:
Luba_88 [7]3 years ago
6 0

Answer:

f(x) = x³ + x² - 8x - 12

Step-by-step explanation:

given roots x = -2 of multiplicity 2 and x = 3, then

(x + 2)² and (x - 3) are factors and the polynomial is the product of the factors

f(x) = a(x + 2)²(x - 3) ← where a is a multiplier

f(x) = (x² + 4x + 4)(x - 3) ← with a = 1

     = x³ + x² - 8x - 12



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