document.write( "Question 1147584: Find the quadratic which has a remainder of -6 when divided by x-1,
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Algebra.Com's Answer #769000 by Edwin McCravy(20060) $\"\"$ $\"About$

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Find the quadratic
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document.write( "let the quadratic be Q(x) = Ax²+Bx+C\r\n" );
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\n" ); document.write( "which has a remainder of -6 when divided by x-1,\r
\n" ); document.write( "\n" ); document.write( "By the remainder theorem Q(1) = A(1)²+B(1)+C = 6
\n" ); document.write( " A + B + C = 6
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document.write( "By the remainder theorem Q(3) = A(3)²+B(3)+ C = 6\r\n" );
document.write( "                                  9A + 3B + C = 6\r\n" );
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\n" ); document.write( "and no remainder when divided by x+1.
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document.write( "By the remainder theorem Q(-1) = A(-1)²+B(-1)+C = 0\r\n" );
document.write( "                                   A - B + C = 0\r\n" );
document.write( "So solve this system of equations:\r\n" );
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document.write( "The substitute the values you get for A,B, and C in\r\n" );
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document.write( "Q(x) = Ax²+Bx+C\r\n" );
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document.write( "and that'll be the answer.\r\n" );
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document.write( "Edwin

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