document.write( "Question 468363: Find a rational zero of the polynomial function and use it to find all the zeros of the function.\r
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Algebra.Com's Answer #321365 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
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document.write( "Hi,
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document.write( "f(x) = x3 + 5x2 + 6x + 2  | x = -1 a root as -1 + 5 - 6 + 2 = 0
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document.write( "Using synthetic division
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document.write( "(x3 + 5x2 + 6x + 2)/(x+1) = x^2 + 4x + 2 \r
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document.write( "-1	1	5	6	2
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document.write( "		-1	-4	-2
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document.write( "	1	4	2	0
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document.write( "(x+1)(x^2 + 4x + 2)
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document.write( "   \r
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document.write( "zeros are: -1, -2+sqrt(2),-2-sqrt(2) \n" );
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