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)![]() ![]() ![]() You can put this solution on YOUR website! EDIT: Corrected mistake in the remainder of the final answer.\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Format representation:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "_______________|_______ \n" ); document.write( "_______________|___________________________________________ \n" ); document.write( "__________+4___|_______1______8_______-2______3______ \n" ); document.write( "_______________| \n" ); document.write( "_______________|___________________________________________\r \n" ); document.write( " \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ADD the 8 and 4, being 12.\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "What is \n" ); document.write( "3; put this above the 8;\r \n" ); document.write( " \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Continuing the process until finished:\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The meaning of this is \n" ); document.write( "The very top line shows the quotient coefficients. \n" ); document.write( "Remainder is 193. \n" ); document.write( " \n" ); document.write( " |