SOLUTION: factor by grouping, if possible, and check w^3 + 7w^2 + 4w + 28 Factor completely. If a polynomial is prime, state this 28a^2 - 23a - 2

Algebra.Com
Question 750580: factor by grouping, if possible, and check
w^3 + 7w^2 + 4w + 28
Factor completely. If a polynomial is prime, state this
28a^2 - 23a - 2

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!

First guess is try to do something with the factors of 7.



See some w factors in the other two terms


Notice two summed expressions each have a factor of w^2+4 distributed. We can reverse that distribution.


And that is the fully factored form.

RELATED QUESTIONS

factor by grouping, if possible, and check w^3 + 7w^2 + 4w + 28 Factor completely. If (answered by stanbon,dkppathak)
Factor completely. Remember to look first for a common factor and to check by... (answered by lynnlo)
Factor completely. Remember to look first for a common factor and to check by... (answered by ankor@dixie-net.com)
Factor completely Remember to look first for a common factor. Check by multiplying. If a... (answered by richwmiller,lynnlo,ashipm01)
Factor completely. Remember that you can check by multiplying. If a polynomial is prime... (answered by funmath)
Factor completely. Remember to look first for a common factor and to check by... (answered by nerdybill)
Factor completely. Remember to look first for a common factor and to check by... (answered by richwmiller)
factor completely remember to look first for a common factor check by multiplying, if... (answered by checkley79)
Factor completely. Remember to look first for a common factor. Check by multiplying. If a (answered by algebrahouse.com)