SOLUTION: how do you Factor the expresion 16w squared+80w+100

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: how do you Factor the expresion 16w squared+80w+100       Log On


   

Question 41236This question is from textbook
: how do you Factor the expresion 16w squared+80w+100 This question is from textbook

Found 2 solutions by checkley71, Nate:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
16w~2+80w+100 or 4w~2+20w+25 or (2x+5)(2x+5)=0 or x=-5/2

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
16w^2 + 80w + 100 you need factors of the product of the constant term(100) and the leading coefficient term(16) that sum up to the linear term(80) .... those are: 40 and 40
16w^2 + 40w + 40w + 100
(16w^2 + 40w) + (40w + 100)
8w(2w + 5) + 20(2w + 5)
(8w + 20)(2w + 5)
4(2w + 5)(2w + 5)