SOLUTION: Problem states to factor completely. (^ is the power) 4w^7+22w^6+10w^5

Question 890009: Problem states to factor completely. (^ is the power)
4w^7+22w^6+10w^5
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
2w^5(2w� + 11w + 5) {factored 2w^5 out}
= 2w^5(2w� + 10w + w + 5) {split 11w into two terms whose coefficients multiply to get 10 and add to get 11}
= 2w^5[2w(w + 5) + 1(w + 5)] {factored 2w out of 1st two terms and 1 out of last two terms}
= 2w^5(2w + 1)(w + 5) {factored (w + 5) out of the two terms}

For more help from me, visit: www.algebrahouse.com

RELATED QUESTIONS
Factor:... (answered by checkley75)

Factor completely. 10w^6 + 32w^5 +... (answered by scott8148)

I need help with these problems can you solve these out for me in steps? Set 5 1.... (answered by ichudov)

factor completely 4x^7-32x^6+8x^5 ^means raising to that... (answered by mananth)

Factor Completely... (answered by ewatrrr)

reduce to its lowest terms - I keep getting confused on the steps.. 4w^5y^3 ________ (answered by Alan3354)

Solve the proportion 6/7 =... (answered by rfer)

can you solve these problems in steps? Set2 1. solve the equation 5x+3=-15, for x... (answered by rapaljer)

Factor 10w^2 - 19w +... (answered by checkley71)