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Iteru [2.4K]
3 years ago
7

Write the equation of a polynomial of degree 3, with zeros 1, 2 and -1 where f(0)=2

Mathematics
1 answer:
ser-zykov [4K]3 years ago
4 0

Answer:

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

Step-by-step explanation:

since the zeroes are 1,-1, and 2. we can write the function like

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

f(x) = (x^2-1)(x-2)

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

and it is true that f(0)=2

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