document.write( "Question 1187954: Solve the polynomial equation and write the polynomial in factored form.\r
\n" ); document.write( "\n" ); document.write( "x^2-7x-30=0 \n" ); document.write( "
Algebra.Com's Answer #818968 by ikleyn(52788)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Your starting equation is\r\n" );
document.write( "\r\n" );
document.write( "    x^2 - 7x - 30 = 0\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is easy to factor:  \r\n" );
document.write( "\r\n" );
document.write( "    the leading coefficient is 1;\r\n" );
document.write( "\r\n" );
document.write( "    30 is the product of 3 and 10;  \r\n" );
document.write( "\r\n" );
document.write( "    you should have it with the \" - \" sign;\r\n" );
document.write( "\r\n" );
document.write( "    and  -10  and  3  sum up to  -7,\r\n" );
document.write( "\r\n" );
document.write( "    so, in factored form, the equation is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    (x-10)*(x+3) = 0.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Obviously, it has the roots  10  and -3.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I think,  the necessary time to get it solved in your head is from  10  to  20  seconds,\r
\n" ); document.write( "\n" ); document.write( "depending on your experience.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In order for to see many other similar solved problems and to develop your experience,  look into my lesson\r
\n" ); document.write( "\n" ); document.write( "    - Solving quadratic equations without quadratic formula\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this textbook under the topic  \"Quadratic equations\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Happy learning (!)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );