## nikkimae 2 years ago how do you factor a polynomial ?

1. inkyvoyd

Depends. Do you have an example?

2. inkyvoyd

In short, one usually uses the rational roots theorem to determine possible rational roots. the theorem can give a long list of possible roots, but that list of complete for rational roots. After those are tested, one must use other methods.

3. nikkimae

16B(4)+8B(2)+20B

4. inkyvoyd

Absolute factorization of a polynomial of degree 4 (quartic) or less is possible with the quartic, cubic, and quadratic pformulas.

5. inkyvoyd

@nikkimae , for this example, you want to factor out all common factors first. You can reduce the expression into: 4B(4B^3+2B+5)

6. inkyvoyd

Nex you need to factor the resulting expression. You can use the rational roots theorem for ideas here.

7. nikkimae

then you just multiply right?

8. inkyvoyd

?

9. nikkimae

what do you do after you have reduce the expression?

10. inkyvoyd

You are attempting to simply the expression into factors. YOu do not multiply after - the whole point of factoring is to "undo" the multiplying.

11. nikkimae

ohhhh okay i got it thanks :)

12. inkyvoyd

okay - let me know if you need anymore help - note that that expression is not the final answer.

13. nikkimae

okay

14. nikkimae

okay one question how did you exactly reduce the expression ? i have exams and i need to know this stuff

15. inkyvoyd

use this to simply what is inside the parenthesis, http://www.purplemath.com/modules/rtnlroot.htm