document.write( "Question 32316This question is from textbook Beginning Algebra
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document.write( ": I am having difficulty in understanding the concept of factoring polynomials. I am having trouble with several problems, so I think the difficulty lies in the lack of understanding on my part of factoring. I have a problem from the Fourth Edition of Beginning Algebra by K. Elayn Martin-Gay by Pearson, Prentice Hall. Here is a couple of the problems that I am having difficulty with. I hope that you are able to help me understand them. Thank you!\r
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document.write( "These actual problems are from a worksheet from class. The instructions state:\r
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document.write( "Factor each trinomial. Be sure to \"FOIL\" your answer and check the middle term when trying number combinations.\r
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document.write( "1). 7x^2 - 18x + 8 =
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document.write( " (7x - 4) (x - 14) = This is where I get lost.\r
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document.write( "2). 5x^2 - 9x + 1 =
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document.write( " (5x - ? ) (x - ? ) = Since no two factors equal 9, I'm confused and don't
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document.write( " know how to even begin this one.\r
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document.write( "3). 7x^2 - 8x + 1 =
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document.write( " (7x - 7) (x - 1) =\r
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document.write( "I can't seem to get any further with these problems. Hope you can help me. Thank you. \n" );
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Algebra.Com's Answer #18929 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! SEE THE FOLLOWING EXAMPLE AND TRY..IF STILL IN DIFFICULTY PLEASE COME BACK \n" ); document.write( "----------------------------------------------------- \n" ); document.write( "How do you factor trinomials? like 3t^2+16t+5 \n" ); document.write( "1 solutions\r \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------------------------------- \n" ); document.write( "Answer 18914 by venugopalramana(1323) on 2006-04-04 10:48:40 (Show Source): \r \n" ); document.write( "\n" ); document.write( "3t^2+16t+5... \n" ); document.write( "IF THERE ARE REAL FACTORS ,WE CAN USE THE FOLLOWING METHOD.. \n" ); document.write( "TAKE COEFFICIENT OF X^2..=3 \n" ); document.write( "TAKE CONSTANT TERM...=5 \n" ); document.write( "FIND THEIR PRODUCT...=3*5=15 \n" ); document.write( "FIND 2 FACTORS FOR THE ABOVE PRODUCT SO THAT THEIR SUM IS EQUAL TO THE COEFFICIERNT OF X TYERM....=16 \n" ); document.write( "PRODUCT =15...FACTORS ARE 1*15 AND...3*5 \n" ); document.write( "WE FIND 1+15=16...SO SPLIT X TERMS AS PER THE FACTORS..THAT IS... \n" ); document.write( "3T^2+1T+15T+5...TAKE COMMON FACTORS OUT... \n" ); document.write( "= T(3T+1)+5(T+3)=(T+5)(3T+1)..IS THE ANSWER. \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |