Write the expression of polynomial a given the roots:
2 answers:
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:
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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