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For the polynomial below, is a zero.
Express as a product of linear factors
since given the polynomial of degree , there will be three zeros and we can write it as:
since given is a zero, we have as one linear factor
....to find other two linear factors, use long division and divide by
-------( |()
...............................subtract
.................
......................................subtract
...........................
................................................subtract
.....................................
so, we have
......now factor completely left side
first complete square
so, solve for :
if => => =±
=>solutions and
then, your polynomial is:
or
