document.write( "Question 915742: I need help trying to solve this problem. Thank you in advance, for helping me out. I really appreciate your time and efforts. Have a terrific day :) Here is the question? Factor:\r
\n" ); document.write( "\n" ); document.write( "p^2 - 7pq + 10q2 \n" ); document.write( "

Algebra.Com's Answer #555741 by josgarithmetic(39617) $\"\"$ $\"About$

You can put this solution on YOUR website!
Make trial binomial factors to logically test.\r
\n" ); document.write( "\n" ); document.write( "You want p for one part and q for the other part; but along with q, you need mostl likely a 2 and a 5.\r
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\n" ); document.write( "\n" ); document.write( "Try starting this way:
\n" ); document.write( "(p____2q)(p_____5q)
\n" ); document.write( "You know operation signs will need to be chosen between each number in each binomial. First think about the INNER and OUTER terms which would be summed.
\n" ); document.write( " $\"p%5E2\"$ , $\"2pq\"$ , $\"5pq\"$ , $\"10q%5E2\"$ ;
\n" ); document.write( "You know how the first term and the last term will fit. Now check the terms of pq. You need for their sum to be negative to fit $\"-7pq\"$ , which they do fit perfectly IF negative signs are placed between the numbers in each binomial:
\n" ); document.write( " $\"highlight%28%28p-2q%29%28p-5q%29%29\"$ .
\n" ); document.write( "The LAST position term will be $\"10q%5E2\"$ without any trouble.\r
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\n" ); document.write( "\n" ); document.write( "The acronym for managing multiplication of two binomials to give the four starter terms is FOIL, standing for FIRST, OUTER, INNER, LAST. \n" ); document.write( "

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