Question

Factor: x³ + 12x² + 48x + 64

Answer 1

try f(-4) = -64 + 192 - 192 + 64 = 0
so (x+4) is a factor
dividing f(x0 by x+4 gives
(x^2 + 8x + 16)
= (x+4)(x+4)
f(x) = (x+4)^3

Answer 2

get it marish?
i used the factor theorem to find the first factor

Answer 3

factor theorem: if f(x) is divisible by (x-a) then f(a) = 0
I had tried -1,-2 and -3 before i got to -4

Answer 4

then i used long division to get the quadratic

Answer 5

r u there?

Answer 6

You could also realize that x^3+12x^2+48x+64 has x's in descending order (3,2,1,0) and that you can rewrite it as:
x^3+3(4^1)x^2+3(4^2)x+1(4^3)
This renders: (x+4)^3

Answer 7

Yes, I understand. I was a little confused before, but thanks.