document.write( "Question 616625: Please help with the equations.\r
\n" ); document.write( "\n" ); document.write( "Find all of the real zeros of the polynomial function, then use the real zeros to factor f over the real numbers.\r
\n" ); document.write( "\n" ); document.write( "f(x) = 3x^4 - 6x^3 + 4x^2 - 2x + 1
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Algebra.Com's Answer #387793 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( "Find all of the real zeros of the polynomial function
\n" ); document.write( "f(x) = 3x^4 - 6x^3 + 4x^2 - 2x + 1 Note: x = 1 is a zero: 3-6+4-2+1 = 0
\n" ); document.write( "using synthetic division
\n" ); document.write( "1 3 -6 4 -2 1
\n" ); document.write( " 3 -3 1 -1
\n" ); document.write( " 3 -3 1 -1 0
\n" ); document.write( "(x-1)(3x^3 - 3x^2 + x-1) Note: x = 1 is a zero of 3x^3 - 3x^2 + x-1
\n" ); document.write( "using synthetic division
\n" ); document.write( "1 3 -3 1 -1
\n" ); document.write( " 3 0 1
\n" ); document.write( " 3 0 1 0
\n" ); document.write( "(x-1)(x-1)(3x^2 - 1)
\n" ); document.write( "Real zeros is x = 1 \n" ); document.write( "
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