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w2+5w+4 factor the trinominal
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(w+4)(w+1)
w = -4, w = -1
\[w^2+5w+4\] \[w^2+4w+1w+4\] \[w(w+4)+1(w+4)\] \[(w+1)(w+4)\] either w+1=0 or w+4=0 hence w=-1 or w=-4
got it nemokimo ? ?
well since it is not given that \[w^2+5w+4=0\] hence we can not say that w=-1 or w=-4....
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