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Mathematics 10 Online
OpenStudy (anonymous):

what is the greatest common factor between 5 and -3

OpenStudy (anonymous):

The Greatest Common Factor (GCF) of some numbers, is the largest number that divides evenly into all of the numbers. Like, the GCF of 10,15, and 25 is 5. so for 5 and -3 your The Greatest Common Factor (GCF) of the numbers 5,-3 is 1 because 1 is the greatest number that divides evenly into all of them.

OpenStudy (anonymous):

http://www.webmath.com/intgcf.html is a very helpful website for finding GCF

OpenStudy (radar):

I have just fanned you mmbuckaroos for an excellent answer and the helpful link

OpenStudy (anonymous):

Thank you! I'm already a fan of you!

OpenStudy (anonymous):

thank you so much!!

OpenStudy (anonymous):

No problem anytime bud!

OpenStudy (anonymous):

hey, do you know how to factor polynomials?

OpenStudy (anonymous):

Uhm do you have an example?

OpenStudy (anonymous):

yes one of them states.. (2a+ab)+(2c+bc)

OpenStudy (anonymous):

First Question: Does your polynomial have a GCF? Always factor out the GCF first (when there is one)!

OpenStudy (anonymous):

yes but i don't know it

OpenStudy (anonymous):

it's 1

OpenStudy (anonymous):

ok one sec let me look at this again give me just a sec

OpenStudy (radar):

They have already grouped it so there is a common factor within each grouping

OpenStudy (anonymous):

correct?!

OpenStudy (anonymous):

(2a+ab)+(2c+bc) 2a+ab+(2c+bc) (b+2)(c+a)

OpenStudy (anonymous):

the two bottom answers must match ^^

OpenStudy (anonymous):

WHat do you mean the two bottom answers must match? (b+2)(c+a) would be the final answer I think

OpenStudy (anonymous):

like the answer would be (the final would be ) (1r+4)(2b-8)

OpenStudy (radar):

Here is the problem as you stated: (2a+ab)+(2c+bc) Look closely at the first part in paren. The 2a+ab.........What do you see that is common to both terms?

OpenStudy (anonymous):

it has an a

OpenStudy (radar):

Yes, remove the a and express it like this a(2+b). Do you agree that is the same thing?

OpenStudy (anonymous):

ohhh ok i see it

OpenStudy (anonymous):

thank u

OpenStudy (radar):

Good now the second part, what do you see that is common to both terms in the second set of paren namely the (2c+bc)?

OpenStudy (radar):

Big_rod when you return...... that can be factored also, extracting the c getting c(2+b) now write the equation like this using the revised a(2+b)+c(2+b) Now hat do you see that is common to both terms? The (2+b) is common, extract that and get the final answer , the same one that mmbuckroos got (2+b)(a+c)

OpenStudy (anonymous):

Thanks Radar you explained that much better than I did! Good review for me as well thanks!

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