Mathematics, 27.06.2019 13:50 mindofnyny
Find an n-degree polynomial function with real coefficients satisfying the given condition.1. n=3; 4 and 2i are zeros; f(-1)=502. n=3; 4 and -5+2i are zeros; f(2)= -6363. n=4; -2, -1/2, and i are zeros; f(1)=184. n=4; -4, 1/3, and 2+3i are zeros; f(1)=1005. n=4; 1+i and i are zeros; f(1)=2
Answers: 3
has real coefficients, then any complex roots occur in conjugate pairs, so if 
is a root, then so is 
. Also, by the fundamental theorem of algebra, if 
are roots to 
,
and 
, then
, we have
, we have
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Find an n-degree polynomial function with real coefficients satisfying the given condition.1. n=3;...
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