SOLUTION: Rewrite the middle term as the sum of two terms and then factor completely. 12w^2 + 19w + 4

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Question 64088: Rewrite the middle term as the sum of two terms and then factor completely.
12w^2 + 19w + 4
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite the middle term as the sum of two terms and then factor completely.
12w^2 + 19w + 4
You need to replace the middle coefficient b, with two numbers that multiply to get ac, but add to get b.
a=12, b=19, and c=4
ac=12(4)=48
3*16=48
3+16=19
12w%5E2%2B3w%2B16w%2B4
%2812w%5E2%2B3w%29%2B%2816w%2B4%29 Group the first two and the last two terms.
3w%284w%2B1%29%2B4%284w%2B1%29 Factor out the GCF in each parentheses
%283w%2B4%29%284w%2B1%29 Factor out the GCF (4w+1)
Happy Calculating!!!