Divide x^2+5x+4 by x+4
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x^2+5x+4
=x^2+4x+x+4
=x(x+4)+1(x+4)
=(x+4)(x+1)
so x^2+5x+4/x+4
=(x+4)(x+1)/(x+4)
=(x+1) ans...
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