document.write( "Question 1126935: Form a fifth-degree polynomial function with real coefficients such that 2i,1-2i, and -5 are zeros and f(0)=200. \n" ); document.write( "

Algebra.Com's Answer #743276 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "Complex zeros always appear in conjugate pairs, thus if

is a zero, then

is also a zero. Hence the 5 zeros of your desired polynomial are:

and

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\n" ); document.write( "\n" ); document.write( "If

is a zero of a polynomial function

, then

is a factor of the polynomial. So, in factored form, your polynomial is:\r
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\n" ); document.write( "\n" ); document.write( "Multiplying it out is left as an exercise for the student.
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\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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