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Mathematics 9 Online
OpenStudy (anonymous):

The greatest common factor of???--->:

OpenStudy (anonymous):

\[x(x+8)+11(x+8)\]

OpenStudy (amistre64):

i only see one common factor that they have

OpenStudy (amistre64):

if we redefine (x+8) to equal "n" xn + 11n

OpenStudy (anonymous):

What do you mean exactly?

OpenStudy (amistre64):

i meant exactly what i posted :/

OpenStudy (amistre64):

the (x+8) parts take up alot of real estate in the expression, so to quiet the noise, i redefined it into something should be simpler to consider.

OpenStudy (anonymous):

I don't understand what you mean by n?

OpenStudy (amistre64):

"n" is just a variable that we define to be equal to (x+8) then replacing equals with equals allows us to see the expression in a simpler form

OpenStudy (anonymous):

I got \[x ^{2}+19x+88\]

OpenStudy (amistre64):

that is not the greatest common factor .....

OpenStudy (anonymous):

Noo, when I worked out the equation first

OpenStudy (amistre64):

Are you looking to put the expression into a standard form? or to determine from its given state, what factors they have in common?

OpenStudy (anonymous):

To find the great common factor

OpenStudy (amistre64):

then working it out to: x^2 +19x + 88 serves no purpose

OpenStudy (anonymous):

Oh...well, now I'm just confused.

OpenStudy (amistre64):

to determine the greatest common factor from say: 2(9) + 5(9) you would not first work it out: 2(9) + 5(9) = 90 what good does the form "90" do for us?

OpenStudy (anonymous):

none

OpenStudy (amistre64):

so, lets not go that route :) can you by chance tell me the GCF of 2(9) + 5(9)

OpenStudy (anonymous):

do I have to find it for each number?

OpenStudy (amistre64):

you just have to look at it and see what value they have in common. compare 2(9) with 5(9) and tell me what they have in common

OpenStudy (anonymous):

9 or would it be 1?

OpenStudy (amistre64):

9 :) do the same thing with this, but remember that we redefined it such that n=(x+8) xn + 11n

OpenStudy (anonymous):

so it would be the (x+8) that are in common?

OpenStudy (amistre64):

exactly

OpenStudy (amistre64):

i have to go, class is starting

OpenStudy (anonymous):

thank you

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