document.write( "Question 24707: Given a polynomial and one of it's factors,find the remaining factors of the polynomial.Some factors may not be binomials.
\n" ); document.write( "solve for three x cubed plus ten x squared minus x minus twelve divided by x plus three.
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Algebra.Com's Answer #13185 by venugopalramana(3286)\"\" \"About 
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solve for three x cubed plus ten x squared minus x minus twelve divided by x plus three.
\n" ); document.write( "N.R.=F(X)=3X^3+10X^2-X-12...WE FIND THAT WHEN X=1 ,F(X)=0..HENCE X-1=0..SO DIVIDING BY X-1 USING SHORT DIVISION ...
\n" ); document.write( "1...|...3..........10...........-1..............-12
\n" ); document.write( "....|...0...........3...........13...............12
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\n" ); document.write( "....|...3..........13...........12................0
\n" ); document.write( "SO THE QUOTIENT IS 3X^2+13X+13..NO FURTHER RATIONAL FACTORS ARE POSSIBLE.SINCE B^2-4AC=13^2-4*3*13=169-156=13 IS NOT A PERFECT SQUARE.
\n" ); document.write( "SO N.R./D.R.=(X-1)*(3X^2+13X+13)/(X+3)
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