document.write( "Question 705310: Find all real zeros of the function g(x)=x^3+4x^2-x-4 \n" ); document.write( "
Algebra.Com's Answer #434546 by nerdybill(7384)\"\" \"About 
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Find all real zeros of the function g(x)=x^3+4x^2-x-4
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\n" ); document.write( "Possible zeros:
\n" ); document.write( "4/1 = +-[1,2,4]
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\n" ); document.write( "Using synthetic division try 1:
\n" ); document.write( "1 | 1 4 -1 -4
\n" ); document.write( " 1 5 4
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\n" ); document.write( " 1 5 4 0
\n" ); document.write( "since we have a zero remainder, we know 1 is a root.
\n" ); document.write( "So, it factors to:
\n" ); document.write( "(x-1)(x^2+5x+4)
\n" ); document.write( "Now, we can factor (using normal methods):
\n" ); document.write( "(x-1)(x+4)(x+1)
\n" ); document.write( "Real zeros are at
\n" ); document.write( "x={1, -4, -1}\r
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