document.write( "Question 636743: Find the complex zeros of the polynomial. Write f in factored form. f(x)=x^3-512 \n" ); document.write( "
Algebra.Com's Answer #401200 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "Find the complex zeros of the polynomial.
\n" ); document.write( "f(x)=x^3-512 |Note x = 8, a real root
\n" ); document.write( "using synthetic Division:
\n" ); document.write( "8 1 0 0 -512
\n" ); document.write( " 8 64 512
\n" ); document.write( " 1 8 64 0
\n" ); document.write( "yields
\n" ); document.write( " x^2 + 8x + 64 = 0
\n" ); document.write( " \"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( " \"x+=+%28-8+%2B-+sqrt%28+-192%29%29%2F%282%29+\"
\n" ); document.write( " \"x+=+%28-8+%2B-+sqrt%28%28-1%29%2A64%2A3%29%29%2F%282%29+\"
\n" ); document.write( " \"+x+=+-4+%2B-+4i%2Asqrt%283%29\" \n" ); document.write( "
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