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leva [86]
3 years ago
12

Write the expression of polynomial a given the roots:

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
4 0

Answer:

So it looks like the given zeros are 2i and -3. We have to work backwards.

x = -3 and x = 2i

For -3, we know that out factored form before would have been x + 3

For 2i, that means we took the square root of negative number because it is imaginary. So that means out factored for x2 + 4

So if we put these together:

(x2 + 4)(x + 3) = x3 + 3x2 + 4x + 12

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Step-by-step explanation:

Travka [436]3 years ago
3 0

Answer:

x³ - 3x² + 4x -12 = 0

Step-by-step explanation:

(x-2i)(x+2i)(x-3) = 0

(x² - 4*(√-1)²)(x-3) = 0

(x² + 4) ( x - 3) = 0

x³ - 3x² + 4x -12 = 0

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