document.write( "Question 1003361: If 1 is a zero of p(x) =ax^3-(a-1)x-1 then find value of a \n" ); document.write( "
Algebra.Com's Answer #853929 by MathTherapy(10801)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "If 1 is a zero of p(x) =ax^3-(a-1)x-1 then find value of a\r\n" );
document.write( "**********************************************************\r\n" );
document.write( "Given that 1 is a 0/1 is a solution, \"p%28x%29+=+ax%5E3+-+%28a+-+1%29x+-+1\" becomes: \r\n" );
document.write( "                                                          \"p%281%29+=+a%281%29%5E3+-+%28a+-+1%291+-+1\" --- Substituting 1 for x\r\n" );
document.write( "                                                            0 = a - a + 1 - 1 ------ Substituting 0 for p(1), and simplifying\r\n" );
document.write( "                                                            0 = 0 (TRUE)\r\n" );
document.write( "\r\n" );
document.write( "As the above equation proves TRUE, there's NO 1 SPECIFIC value for \"a.\" As such, ANY value of\r\n" );
document.write( "\"a\" will SATISFY the function, \"p%28x%29+=+ax%5E3+-+%28a+-+1%29x+-+1\"
\n" ); document.write( "
\n" );