Posted by **Tiffany** on Thursday, February 28, 2013 at 9:47am.

factor the polynomials using whatever strategy seems appropriate.

12m^2n^2-8mn+1

- Math -
**Steve**, Thursday, February 28, 2013 at 10:38am
Just by inspection,

(2mn-1)(6mn-1)

- Math -
**Tiffany**, Thursday, February 28, 2013 at 11:03am
How did you get that?

- Math -
**Steve**, Thursday, February 28, 2013 at 12:33pm
Think of it like factoring

12x^2 - 8x + 1

or

x^2 - 8x + 12

You want factors of 12 that add to 8

That'd be 6 and 2.

It takes some experience to get quick at factoring by inspection. Do lots of these till you don't have to spend a lot of time guessing.

If the middle term is small, and the last term is negative, you want factors that are close to each other:

(x^2-4x+96) = (x-12)(x+8)

If the middle term is positive, it's easier to imagine factors that add up.

Of course, if you are faced with something like

(12x^2 - 29x + 60)

you will have lots of possible combinations.

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