document.write( "Question 72344This question is from textbook
\n" ); document.write( ": for the polynominal, one zero is given. Find all the others:
\n" ); document.write( "f(x)= x^4 + 10x^3 + 27x^2 + 10x + 26; i \n" ); document.write( "

Algebra.Com's Answer #51707 by stanbon(75887) $\"\"$ $\"About$

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for the polynominal, one zero is given. Find all the others:
\n" ); document.write( "f(x)= x^4 + 10x^3 + 27x^2 + 10x + 26; i
\n" ); document.write( "----------
\n" ); document.write( "If \"i\" is a zero, then \"-i\" is also a zero.
\n" ); document.write( "Therefore (x-i)(x+i)=x^2+1 is a factor.
\n" ); document.write( "Dividing by x^2+1 the quotient is x^2+10x+26
\n" ); document.write( "The roots of this quadratic are:
\n" ); document.write( "x=[-10+-sqrt(100-4*26)]/2
\n" ); document.write( "x=[-10+-sqrt(-4)]/2
\n" ); document.write( "x=[-5+-i]
\n" ); document.write( "x=5+i or x=5-i or x=i or x=-i
\n" ); document.write( "-------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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