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nika2105 [10]
4 years ago
11

Write your question here

Mathematics
1 answer:
kobusy [5.1K]4 years ago
4 0

Answer:

f(x) = x³ + 10x² + 27x + 18

Step-by-step explanation:

Given the zeros x = - 3, x = - 6 and x = - 1

Then the factors are (x + 3), (x + 6), (x + 1)

and the polynomial is the product of the factors, that is

f(x) = (x + 3)(x + 6)(x + 1) ← expand the first 2 factors using FOIL

     = (x² + 9x + 18)(x + 1) ← distribute

     = x³ + 9x² + 18x + x² + 9x + 18 ← collect like terms

     = x³ + 10x² + 27x + 18

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Step-by-step explanation:

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