Using the given zero to find the remaining zeros of the function f(x)=x^3-4^2+49x-196; zero: -7i
1 answer:
Because 
has real coefficients, you know the complex root occurs along with its conjugate. That is, both 
are roots to 
.
This means that dividing through by both factors yields another polynomial with no remainder:
This means the last root (there are only three according to the fundamental theorem of algebra) is
.
This means that dividing through by both factors yields another polynomial with no remainder:
This means the last root (there are only three according to the fundamental theorem of algebra) is
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