Finally, the last one that keeps on stumpin' me...
5w^5-1080w^2
2007-07-13 04:44:50 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
5w^5-1080w^2
=5w^2(w^3 - 216)
=5w^2(w^3 - 6^3)..diff of 2 cubes
= 5w^2(w-6)(w^2 + 6w + 6^2)
= 5w^2(w-6)(w^2 + 6w + 36)
2007-07-13 04:49:39 · answer #1 · answered by harry m 6 · 0⤊ 0⤋
5w^5 - 1080w^2
Factor the greatest common monomial.
5w^2 ( w^3 - 216)
216 is a perfect cube; it's the cube of 6.
Using the guidelines I presented in your other question:
5w^2 (w - 6)(w^2 + 6w + 36)
2007-07-13 11:48:20 · answer #2 · answered by Puggy 7 · 0⤊ 0⤋
5w^2(w^3-216)
factored out common terms
5w^2 (w-6)(w^2 +6w+36)
find the expansion formula for the diff of cubes to fill in the dots
2007-07-13 11:52:33 · answer #3 · answered by 037 G 6 · 0⤊ 0⤋
f(w)= 5w² (w³ - 216)
Consider w³ - 216:-
6³ - 213 = 0
Thus w - 6 is a factor of W³ - 216
To find othe factors , use synthetic division:-
6|1**0**0**-216
*****6**36**216
--------------------
**1**6**36**0
-----------------
f(w) = (w - 6) (w² + 6w + 36)
2007-07-13 13:53:49 · answer #4 · answered by Como 7 · 0⤊ 0⤋