Math Help - Factor

1. Factor

5x^4-4x^3+19x^2-16x-4

I divided it by x^4+4

= 5x^2-4x-1

I always having hard time factoring.... can you factor me this quadratic equation please.... 5x^2-4x-1 thanks...

2. Originally Posted by Anemori
5x^4-4x^3+19x^2-16x-4

I divided it by x^4+4

= 5x^2-4x-1

I always having hard time factoring.... can you factor me this quadratic equation please.... 5x^2-4x-1 thanks...
Dear Anemori,

If you factorize, $5x^2-4x-1=(5x+1)(x-1)$

Anyway your division is wrong. You would not get $5x^2-4x-1$ when $5x^4-4x^3+19x^2-16x-4$ is divided by, $x^4+4$. Quite obvious since if you multiply $x^4+4$ and $5x^2-4x-1$ you would get a 6th degree polynomial.

3. Dear Anemori,

Also I want to share this factorizing calculator which you would find handy to check your calculations.

Algebra.Help -- Factoring Calculator

4. Originally Posted by Sudharaka
Dear Anemori,

Also I want to share this factorizing calculator which you would find handy to check your calculations.

Algebra.Help -- Factoring Calculator

Thanks to you all!