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Mathematics 10 Online
OpenStudy (anonymous):

Use the given zero to find all the zeros of the function f(x)=x^3+x^2+9x+9 r=3i

OpenStudy (anonymous):

r = 3 is not a 0

OpenStudy (anonymous):

its r=3i

OpenStudy (anonymous):

ah ok.

OpenStudy (anonymous):

if 3i is a root, then so is -3i

OpenStudy (anonymous):

so (x-3i) and (x+3i) are factors, so a factor is (x-3i)(x+3i) = x^2 + 9

OpenStudy (anonymous):

We divide by this factor to get x + 1

OpenStudy (anonymous):

so the last root is -1

OpenStudy (anonymous):

All three roots are : 3i, -3i, and -1

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