# Math Help - Factorization

1. ## Factorization

Please help me, How to factorise this polynomial...

$D^5-13D^3+26D^2+82D+104=0$

Thanks in advance...

2. Find the positive and negative factors of $104$.

Then substitute each of these into the polynomial.

If any of them (call it $a$) gives you $0$ after simplifying the left hand side, then $(x - a)$ is a factor.

After you've done that, long divide, follow the same process.

3. Originally Posted by Prove It
Find the positive and negative factors of $104$.

Then substitute each of these into the polynomial.

If any of them (call it $a$) gives you $0$ after simplifying the left hand side, then $(x - a)$ is a factor.

After you've done that, long divide, follow the same process.
I found a factor $D+4$, but I can not find the facors of other factor $D^4-4D^3+3D^2+14D+26$.

4. Hint : plot your polynomial and have a look at it. Then you should understand why you can't find other factors

5. You've found the only real root of f(x)=0.