document.write( "Question 947219: P(x) = x3 + 8x2 − 2x + 3, D(x) = x − 4. How do I solve it with the synthetic formula? \n" ); document.write( "
Algebra.Com's Answer #577928 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
EDIT: Corrected mistake in the remainder of the final answer.\r
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\n" ); document.write( "\n" ); document.write( "The root being checked is +4.
\n" ); document.write( "The second line or row is for the coefficients, except for here also including the root being checked at the left side.\r
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\n" ); document.write( "\n" ); document.write( "Format representation:\r
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\n" ); document.write( "\n" ); document.write( "_______________|_______
\n" ); document.write( "_______________|___________________________________________
\n" ); document.write( "__________+4___|_______1______8_______-2______3______
\n" ); document.write( "_______________|
\n" ); document.write( "_______________|___________________________________________\r
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\n" ); document.write( "\n" ); document.write( "Bring down the first coefficient, multiply by (+4), put this under the second coefficient:\r
\n" ); document.write( "\n" ); document.write( "_______________|______________
\n" ); document.write( "_______________|___________________________________________
\n" ); document.write( "__________+4___|_______1______8_______-2______3______
\n" ); document.write( "_______________|______________4
\n" ); document.write( "_______________|___________________________________________
\n" ); document.write( "_______________________1\r
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\n" ); document.write( "\n" ); document.write( "ADD the 8 and 4, being 12.\r
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\n" ); document.write( "\n" ); document.write( "_______________|______________
\n" ); document.write( "_______________|___________________________________________
\n" ); document.write( "__________+4___|_______1______8_______-2______3______
\n" ); document.write( "_______________|______________4
\n" ); document.write( "_______________|___________________________________________
\n" ); document.write( "_______________________1______12\r
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\n" ); document.write( "\n" ); document.write( "What is \"12%2F4\"?
\n" ); document.write( "3; put this above the 8;\r
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\n" ); document.write( "\n" ); document.write( "_______________|______________3
\n" ); document.write( "_______________|___________________________________________
\n" ); document.write( "__________+4___|_______1______8_______-2______3______
\n" ); document.write( "_______________|______________4
\n" ); document.write( "_______________|___________________________________________
\n" ); document.write( "_______________________1______12\r
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\n" ); document.write( "\n" ); document.write( "Continuing the process until finished:\r
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\n" ); document.write( "\n" ); document.write( "_______________|______________3_______48_____47.5
\n" ); document.write( "_______________|___________________________________________
\n" ); document.write( "__________+4___|_______1______8_______-2______3______
\n" ); document.write( "_______________|______________4_______192____190
\n" ); document.write( "_______________|___________________________________________
\n" ); document.write( "_______________________1______12______190____193\r
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\n" ); document.write( "\n" ); document.write( "The meaning of this is \"3x%5E2%2B48x%2B47.5%2B193%2F%28x-4%29\".
\n" ); document.write( "The very top line shows the quotient coefficients.
\n" ); document.write( "Remainder is 193.
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