I have two equations, I'm pretty sure I can solve them, but the method I know of is was too long, and I've never had to use very long methods to solve any problems so far. I'm wondering if there's some shortcut method that I don't know, or that I'm forgetting. Here are the equations(I have solve for x):(adsbygoogle = window.adsbygoogle || []).push({});

1. [itex]x^6 - 26x^3 - 27 = 0[/itex]

2. [itex](x^2 + 2x)^2 - (x^2 + 2x) -12 = 0[/itex]

For 1, I thought of doing this:

[itex]x^3(x^3 - 26) - 27 = 0[/itex]

That was all I could come up with, I'm not sure what to do next.

As for 2, I did this:

[itex]x^4 + 4x^3 + 4x^2 - x^2 - 2x - 12 = 0[/itex]

[itex]x^4 + 4x^3 + 3x^2 -2x -12 = 0[/itex]

That's as far as I could get, I figred I could get the factors by continuosly long dividing the polynomial by a factor I could find using the factor theore, but I didn't really want to have do that much work, isn't there a shortcut method? A way of grouping them or something? I'm wondering this about both of the equations. Thanks in advance.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Is there an easier way to factor these polynomials?

**Physics Forums | Science Articles, Homework Help, Discussion**