document.write( "Question 1172364: Sam is working on some polynomial factorizations in the form of x^2 + px + q , where p and q are nonzero integers. His work is as follows:
\n" ); document.write( "x^2 −2x−3=(x−3)(x+1)
\n" ); document.write( "x^2 +5x+6=(x+2)(x+3)
\n" ); document.write( "x^2 −7x+10=(x−2)(x−5)
\n" ); document.write( "x^2 +6x+8=(x+2)(x+4)
\n" ); document.write( "x^2 −8x+12=(x−2)(x−6)
\n" ); document.write( "x^2 +9x+18=(x+3)(x+6)
\n" ); document.write( "He concludes that if p and q are coprime, then the factors a and b are also coprime. If p and q are not coprime, then the factors a and b are not coprime, either.
\n" ); document.write( "Is his conclusion correct? Explain please. \n" ); document.write( "
Algebra.Com's Answer #797384 by ikleyn(52813)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "Hello, from your post,  it is  UNCLEAR  to me what you call as  \"the factors a and b\" ?\r
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\n" ); document.write( "\n" ); document.write( "They are not defined anywhere in your post,  making it non-sensical.\r
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\n" ); document.write( "\n" ); document.write( "If you mean  \"a\"  and  \"b\"  as linear binomials,  then they  ALWAYS  are coprime as polynomials,  until they coincide.\r
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