Posted by **Chelsea** on Sunday, January 11, 2009 at 5:50pm.

is (x^2-5) a factor of x^4-3x^2-1?

- math analysis -
**Count Iblis**, Sunday, January 11, 2009 at 7:02pm
Let's compute the remainder of the polynomial after division by x^2 - 5. So, we want to evaluate:

x^4-3x^2-1 Mod (x^2 - 5)

If we use the equals sign to mean equality Modulo x^2 - 5 in the following, then we have:

x^2 = 5 ---->

x^4 = 25

So, we have:

x^4 - 3 x^2 - 1 =

25 - 15 - 1 = 9

This is nonzero, so x^2 - 5 is not a factor of the polynomial.

## Answer this Question

## Related Questions

- Strategic Global Mgmt - develop both an external factor analysis summary & ...
- chemistry - please explain the dimensional analysis, and atomic structure? The ...
- Human Resources Management - The certification process in skill-based pay is ...
- english - to kill a mockingbird movie analysis question. 1) how does the lack of...
- Chemistry - I Have Two Questions 1)How would you calculate the number of ...
- Fundamentals of Cost Analysis (Economic Analysis) - What would be the present ...
- chemistry - dilution factor - I have 4 ml of eluent from SPE and I brought the ...
- math - If the sides of a box all double in length, by how much does its volume ...
- aiu - Analysis techniques include the following: • Comparative financial ...
- Math - Use the Factor Theorem to determine whether x-3 is a factor of P(x)=2x^3-...