Factor each polnomial completely
64x^3-125
2006-09-13 11:17:29 · 2 answers · asked by Anonymous in Education & Reference ➔ Homework Help
u e almost got it. He/she wrote 4x^2, but it should have been 16x^2. (First answer.)
The right answer is
64x^3 - 125 = (4x - 5)(16x^2 + 20x + 25)
You can figure this out. It's the difference of two cubes, so a good guess (even if you forget the formula) is 4x - 5.
You can use polynomial long division to get the rest of it. (In this example, long division is easier than synthetic division.)
If you divide 16x^3 + 0x^2 + 0x - 125 by 4x - 5, you get the answer 16x^2 + 20x + 25 with no remainder.
I'd show you how to do that, but it's hard to line columns up in these posts.
2006-09-13 11:41:18 · answer #1 · answered by bpiguy 7 · 0⤊ 0⤋
(4x)^3-(5)^3=
(4x-5)* (4x^2 + 20x+ 25)
2006-09-13 11:24:08 · answer #2 · answered by u e 2 · 0⤊ 0⤋