document.write( "Question 1035463: Given that x^2+px+q and 3x^2+q have a common factor x-b, where p,q and b are non-zero, show that 3p^2+4q=0. \n" ); document.write( "

Algebra.Com's Answer #650126 by josgarithmetic(39620) $\"\"$ $\"About$

You can put this solution on YOUR website!
Putting in the text here is difficult. Follow this described process, so far still incomplete:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "First expression divided by x-b should have remainder of 0, equal to $\"pb%2Bb%5E2%2Bq\"$ .\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Second expression divided by x-b should have also remainder of 0, equal to $\"3b%5E2%2Bq\"$ .\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You would do those with polynomial division OR synthetic division. Your choice.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You can equate the two expressions found for the remainder since both are 0.
\n" ); document.write( " $\"pb%2Bb%5E2%2Bq=3b%5E2%2Bq\"$
\n" ); document.write( "will give you ..... $\"b%282-p%29=0\"$
\n" ); document.write( "from which you pick that $\"highlight%28p=2%29\"$ ------so you have some part of the solution, but not yet the entire solution.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Next, look at the two equations for the remainders. \n" ); document.write( "

\n" );