document.write( "Question 394728: Find all quartic polynomials with zeros of:
\n" ); document.write( "+-1 , +- $\"sqrt%282%29\"$ \r
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Algebra.Com's Answer #280092 by CharlesG2(834) $\"\"$ $\"About$

You can put this solution on YOUR website!
\"Find all quartic polynomials with zeros of:
\n" ); document.write( "+-1 , +- $\"sqrt%282%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Thank you :)\"\r
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\n" ); document.write( "\n" ); document.write( "Hope following helps:
\n" ); document.write( "find all the binomials that add to 0 and multiply to the quadnomial set to 0 that is needed
\n" ); document.write( "(x + 1)(x - 1)(x - $\"sqrt%282%29\"$ )(x + $\"sqrt%282%29\"$ ) = 0 this has the zeros you said above
\n" ); document.write( "multiply and use FOIL (First Outer Inner Last) and distribution
\n" ); document.write( "(x^2 - 1)(x^2 - 2) = 0 when you got a plus and a minus the middle terms cancel out
\n" ); document.write( "x^4 - 2x^2 - x^2 + 2 = 0
\n" ); document.write( "x^4 - 3x^2 + 2 = 0
\n" ); document.write( "check with 1 and $\"sqrt%282%29\"$ :
\n" ); document.write( "1 - 3 + 2 = -2 + 2 = 0, yes
\n" ); document.write( "4 - 6 + 2 = -2 + 2 = 0, yes\r
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