Question

how can this be factored?
\[\Large \text D^3 - 11\text D - 20\]

is it different from algebra?

Answer 1

is the factoring in diff eq different from algebra?

Answer 2

no

Answer 3

so how do you factor diff eqs?

Answer 4

Rational root thereom :)

Answer 5

but isnt that how you factor algebra as well? what's the difference?

Answer 6

I am thinking if it is factorizable..

Answer 7

my first question is if factoring diff eqs is different from algebra

Answer 8

It is somewhat different...

Answer 9

Let f(D) = D^3 -11D - 20
f(4) = 4^3-11(4) -20 = 0
Therefore, (x-4) is a factor of f(x)
Use synthetic division.

f(x) = (x-4)(x^2+4x+5)