document.write( "Question 55099This question is from textbook Algebra Structure and Method book 1
\n" ); document.write( ": Factor: 36x^2 - 72 + 35 \n" ); document.write( "

Algebra.Com's Answer #37364 by rchill(405) $\"\"$ $\"About$

You can put this solution on YOUR website!
Because the last term is positive and the middle term is negative, we know we will have two factors in the form of (Ax-C)(Bx-D), where A*B=36, C*D=35, and AD+BC=72.

\n" ); document.write( "Using trial and error can be quite painful. Starting with 35, the only factors possible are 1 and 35, and 5 and 7. There are several sets of factors for 36: 1 and 36; 2 and 18; 3 and 13; 4 and 9; 6 and 6.

\n" ); document.write( "Let's try using 5 and 7 for the factors of 35, and 6 and 6 for 36: $\"%286x-5%29%286x-7%29\"$ . That works! If it didn't, we would have to painstakingly go through the list to see which ones satisfy the condition from the first paragraph above. \n" ); document.write( "

\n" );