Question 104688: factor each polynomial completely
-4w^3 - 16w^2 + 20w Found 2 solutions by TP, Fombitz:Answer by TP(29) (Show Source):
You can put this solution on YOUR website! Looking at the polynomial we can see that 4w is a COMMON FACTOR and so
-4w^3 - 16w^2 + 20w = 4w[-w^2 - 4w + 5]
= -4w[w^2 + 4w - 5]
Now to factorise w^2 + 4w - 5 we need to look for two numbers that when added together give you 4 and when multiplied together give you -5.
These numbers are 5 and -1.
So -4w[w^2 + 4w - 5] = -4w[(w + 5)(w-1)]ANS