I'm reviewing stuff from the aleks junk because it is the MOST COMPLICATED THING IN WORLD! I get it now though.
Simplifying a ratio of polynomials:
(w^2+6w-7) / (3w^2+33w+84)
To simply this expression you have to factor the numerator and denominator.
*first factor the top out:
w^2+7w-1w-7 = w(w+7)-1(w+7)
=(w-1)(w+7)
*now factor out the bottom:
3w^2+21w+12w+84 = 3w(w+7)+12(w+7)
=(3w+12)(w+7)
=3(w+4)(w+7)
=(w-1)(w+7) / 3(w+4)(w+7)
w+7 can cancel out so your left with
(w-1)/3(w+4)
and that's the final answer.
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