document.write( "Question 432788: find a polynomial function of lowest degree with integer coefficients that has the given zeros 0,i,-i.
\n" ); document.write( "(x-0) (x-i) (x+i)= p(x)=(x-0)(x-i)(xti) Im stuck after this part please help? \n" ); document.write( "

Algebra.Com's Answer #300023 by tinbar(133) $\"\"$ $\"About$

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you have it right so far. now just expand and simplify (x)*(x-i)*(x+i), which gives x(x^2+1) = x^3+x. so let your p(x) = a*x^3+b*x, where a,b are Integers and your done. This will be the LOWEST degree polynomial to satisfy the conditions \n" ); document.write( "

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