document.write( "Question 1099422: For the polynomial below, -2 is a zero. h(x)=x^3+8x^2+14x+4
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document.write( "Find the other zeros. \n" );
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Algebra.Com's Answer #713855 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "h(x)=x³+8x²+14x+4\r\n" ); document.write( "\r\n" ); document.write( "Since -2 is a zero we can form this synthetic division\r\n" ); document.write( "and get 0 remainder\r\n" ); document.write( "\r\n" ); document.write( "-2|1 8 14 4\r\n" ); document.write( " | -2 -12 -4\r\n" ); document.write( " 1 6 2 0\r\n" ); document.write( "\r\n" ); document.write( "And that means that h(x) factors this way\r\n" ); document.write( "\r\n" ); document.write( "h(x) = (x+2)(x²+6x+2)\r\n" ); document.write( "\r\n" ); document.write( " x+2 = 0; x²+6x+2 = 0\r\n" ); document.write( " x = -2;\n" ); document.write( " |