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April 20, 2014

April 20, 2014

Posted by **Emily** on Monday, March 3, 2008 at 6:15pm.

- Math -
**Damon**, Monday, March 3, 2008 at 6:36pm8 x + 10

all you can do here is factor out 2

= 2 (4x+5)

x^2 - 5 x + 6

is quadratic and of form a x^2 + b x + c

we know it will have factors of form ( p x + q)(r x + s) which we can foil to get the original back (We do not know however if all those constants are integers, but we can hope

Now 6 is either 6*1 or it is 2 * 3

we know p and r are one to get 1 x^2

we know both q and s must be - to get a positive outer product and negative inner product so

so try to FOIL

(x-2)(x-3) (by the way it works)

n^2 + n - 20

well, 20 = 2 * 10 or 20*1 or 4*5

I know I need

(n - something ) (n + something that is one bigger and gives an outer product of 20

so try to FOIL

(n-4)(n+5)

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