Question

Factor f(x) = x4 + x3 – 8x2 + 6x + 36 completely.

Answer 1

3 (x + 1) - x/2 + 3/2 < 0

Answer 2

bbang

Answer 3

i got the answer:
(x+2)(x+3)(x^2-4x+6)
but i need to find another similar answer to it.
is that even possible?

Answer 4

bbang as in bread in korean

Answer 5

Use the factor theorem to find your first factor.
i.e. f(-2) = 0, therefore (x+2) is a facotr
Then use long division or synthetic division. I'll use synthetic:

After using either method:
(x-2)(x^3 + x^2 - 6x + 18)

Again, use factor theorem on x^3 + x^2 - 6x + 18:
f(-3) = 0 therefore (x+3) is a factor

Use synthetic/long division:
(x-2)(x+3)(x^2 - 4x + 6)

For x^2 - 4x + 6 you would have to complete the square or similar