document.write( "Question 895587: When factoring a trinomial by grouping, why is it necessary to write the trinomial in four terms? Provide an example. Thank you. \n" ); document.write( "

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When factoring a trinomial by grouping, why is it necessary to write the trinomial in four terms? Provide an example. Thank you.
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document.write( "It is necessary to write four terms in order to group the first and second sets of expressions so that
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document.write( "the binomial factors of the trinomial can be identified. For example:
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document.write( " can be factored easily by REPLACING - 7x with - 15x and 8x.\r
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document.write( "Thus,  becomes . The first two expressions:  as well as the last
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document.write( "two:  can now be factored, thus eliminating the \"trial and error\" method, associated with the leading
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document.write( "coefficient, 24 having 4 sets of factors: 
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document.write( "1 & 24
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document.write( "2 & 12
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document.write( "3 & 8, and
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document.write( "4 & 6
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document.write( "After writing the above trinomial in four terms, it was determined that the factors of 24 to be used are: 3 & 8,
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document.write( "as the trinomial factors to: 3x(8x - 5) + 1(8x - 5), leading to the trinomial's factors being:  \n" );
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