document.write( "Question 305364: IF (x-5)(x^2-6x+4) = Ax^3 + Bx^2 + Cx + D, find the value of A+B+C+D \n" ); document.write( "
Algebra.Com's Answer #218621 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\r\n" );
document.write( "Since all we want is \"A%2BB%2BC%2BD\" we simply substitute x=1\r\n" );
document.write( "and the right side will become that very sum:\r\n" );
document.write( "\r\n" );
document.write( "\"%28x-5%29%28x%5E2-6x%2B4%29+=+Ax%5E3+%2B+Bx%5E2+%2B+Cx+%2B+D\"\r\n" );
document.write( "\r\n" );
document.write( "\"%281-5%29%281%5E2-6%2A1%2B4%29+=+A%2A1%5E3+%2B+B%2A1%5E2+%2B+C%2A1+%2B+D\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28-4%29%28-1%29+=+A%2BB%2BC%2BD\"\r\n" );
document.write( "\r\n" );
document.write( "\"4=A%2BB%2BC%2BD\"\r\n" );
document.write( "\r\n" );
document.write( "The answer is 4\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );