document.write( "Question 28105: Which polynomial can be factored over the set of polynomials with the integer coefficients? \r
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document.write( "A) x^2+5x+10
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document.write( "B) x^2+5x-14
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document.write( "C) x^2-5x-10
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document.write( "D) x^2+5x+14\r
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document.write( "I have no idea even after reviewing my textbook how to do this? can someone explain how to get the answer? \n" );
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Algebra.Com's Answer #15331 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! Which polynomial can be factored over the set of polynomials with the integer coefficients? \n" ); document.write( "A) x^2+5x+10 \n" ); document.write( "B) x^2+5x-14 \n" ); document.write( "C) x^2-5x-10 \n" ); document.write( "D) x^2+5x+14 \n" ); document.write( "I have no idea even after reviewing my textbook how to do this? can someone explain how to get the answer? \r \n" ); document.write( "\n" ); document.write( "FIRST MAKE COEFFICIENT OF X^2 AS 1 BY TAKING COEFFICIENT OF X^2 AS A COMMON FACTOR. \n" ); document.write( "HERE IT IS ALREADY 1.SO THIS STEP IS NOT NEEDED. \n" ); document.write( "NOW CHECK WHETHER YOU CAN SPLIT THE CONSTANT TERM IN TO 2 FACTORS WHOSE SUM IS THE COEFFICIENT OF X TERM. \n" ); document.write( "A) x^2+5x+10...HERE 10 HAS FACTORS OF 1&10;2&5;NONE OF WHOSE SUM IS 5..SO WE CANNOT FACTORISE THIS INTO 2 POLYNOMIALS OF INTEGER COEFFICIENTS. \n" ); document.write( "B) x^2+5x-14....HERE -14 HAS FACTORS OF +7 AND -2 WHOSE SUM IS +5..SO WE CAN FACTORISE THIS INTO 2 POLYNOMIALS OF INTEGER COEFFICIENTS. \n" ); document.write( "THEY ARE X+7 AND X-2 \n" ); document.write( "C) x^2-5x-10.......SAME AS A \r \n" ); document.write( "\n" ); document.write( "D) x^2+5x+14 ......SAME AS A ...+14 CANNOT BE SPLIT AS REQUIRED.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |