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.

## Answer this Question

## Related Questions

- algebra - Factoring 12m^2n^2-8mn+1
- Liberal Arts Math - how would i solve this problem?? it says factor the ...
- MATH FACTOR POLYNOMIALS - Factor the polynomial. Please show all work. x^2+2x-3
- Polynomials/Math - x^2 a^2 is called a difference of squares. Assuming one ...
- Math - Let V={f(x)=c0 + c1x + c2x2 : 01 f(x)dx=1}. In other words, V is the ...
- math - factor the polynomials x^2 -6 x^2 +5x-6
- math - 3mn,-5mn,8mn,-4mn
- Math209 - I am not understanding how to factor polynomials. Example: Factor 12y^...
- math grd 10 - factor the polynomials x^2 -6 x^2 +5x-6
- Math - Factor 1. a^4-16 2. (m-n)^2-(2m+3n)^2 3.2x^4y^4-6x^5y^3+8x^3y 4.12m^2n^3+...