SOLUTION: factoring trinomials by grouping 60p^4+81p^3+27p^2

Question 57331: factoring trinomials by grouping
60p^4+81p^3+27p^2
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
factoring trinomials by grouping
Factor out the GCF 3p^2

We need to replace the middle term, 27p, of the trinomial with two numbers that multiply to give you (20p^2)*(9)=180p^2, but add together to get 27p.
I coudn't think of it at first so I factored 180 down to it's prime factors until I found that 12p*15P=180p^2 and 12p+15p=27p.
Group the first two terms and the last two terms.
Factor out the GCF in each group.
Both now have a factor of (5p+3) factor it out.

Happy Calculating!!!

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