document.write( "Question 70230This question is from textbook Heath ALGEBRA 1 Larson, Kanold, Stiff
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document.write( ": I need to Know how to Factor a Quadratic Trinomial when the leading coefficient is not one. The book does not show me how to do it step by step, and I am really confused with how to go about solving the problem. FOr example, the problem number 33 says: 14x2 - 19x - 40 \r
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document.write( "thank you, MERMAIDMERCY \n" );
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Algebra.Com's Answer #50122 by checkley75(3666) ![]() You can put this solution on YOUR website! 14X^2-19X-40 \n" ); document.write( "YOU NEED TO MAKE A TABLE OF FACTORS FOR THE FIRST & THE LAST TERMS \n" ); document.write( "14*****-40 SUCH THAT THE THE SUMS OF THE PRODUCTS ARE -19 THUS \n" ); document.write( "-------------------- \n" ); document.write( "THE FACTORS OF 14 ARE 1*14,-1*-14, 2*7,-2*-7 \n" ); document.write( "THE FACTORS OF -40 ARE -1*40,1*-40,2*-20,-2*20,4*-10,-4*10,5*-8,-5*8 \n" ); document.write( "STARTING WITHN THE FIRST SET OF FACTORS WE GET \n" ); document.write( "1*-1+14*40=-1+560=559 NOT A SOLUTION \n" ); document.write( "1*40+14*-1=40-14=26 NOT A SOLUTION \n" ); document.write( "2*5+7*-8=10-56=-46 \n" ); document.write( "2*-8+7*5=-16+35=19 \n" ); document.write( "2*8+7*-5=16-35=-19 THIS IS THE SOLUTION WHEN YOU MULTIPLY THE OUTER NUMBERS & ADD IN THE INNER NUMBERS USING THE FOIL PROCESS THUS: \n" ); document.write( "(2X-5)(7X+8) EXPANDING THIS TERMS WE GET \n" ); document.write( "14X^2-35X+16X-40 \n" ); document.write( "14X^2-19X-40 \n" ); document.write( " \n" ); document.write( " |