document.write( "Question 766631: f(x)=3x^(4)+5x^(3)+7x^(2)+3x-2
\n" ); document.write( "find all zeros including complex zeros
\n" ); document.write( "write f(x0 in completely factored form \n" ); document.write( "
Algebra.Com's Answer #467103 by lwsshak3(11628)\"\" \"About 
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f(x)=3x^(4)+5x^(3)+7x^(2)+3x-2
\n" ); document.write( "find all zeros including complex zeros
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\n" ); document.write( "use rational roots theorem:
\n" ); document.write( "...0...|.....3......5.......7.......3......-2........
\n" ); document.write( "...1...|.....3......8......15.....18......16(there is a root between zero and one) (change in sign)
\n" ); document.write( ".1/3.|.....3......6.......9.......6........0(1/3 is a root)
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\n" ); document.write( ".-1...|.....3......3.......6.......0 (- 1 is a root)
\n" ); document.write( "f(x)=(x+1)(3x-1)(3x^2+3x+6)
\n" ); document.write( "3x^2+3x+6=0
\n" ); document.write( "use quadratic formula:
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "a=3, b=3, c=6
\n" ); document.write( "x=[-3±√(3^2-4*3*6)]/2*3
\n" ); document.write( "x=(-3±√-63)/6
\n" ); document.write( "x=(-3±3√7i/6
\n" ); document.write( "x=(-1±√7i)/2
\n" ); document.write( "real zeros are: 1/3 and -1
\n" ); document.write( "complex zeros are: (-1+√7i)/2 and (-1-√7i)/2\r
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