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Sagot :
Hi student, let me help you out! :)
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We are asked to find the G.C.F. of 8x-6.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
- G.C.F. stands for Greatest Common Factor.
So what is the G.C.F. of 8x-6? We can list all of their common factors and then select the greatest one, like so:
[tex]\longmapsto\bf{Factors\;of\;8x:}[/tex] 1, 2, 4, 8, x
[tex]\longmapsto\bf{Factors\;of\;-6:}[/tex] -1, 1, 2, -3, 3, -6, 6
So the GCF is:
2
Now, we can also factor it out by placing it outside the parentheses ():
2(4x-3)
See, we factored it out by dividing both terms of the expression by the G.C.F.
[tex]\ddot\bigstar[/tex] Remember this...
[tex]\fbox{\bf{We\;factor\;out\;the\;G.C.F.\;by\;dividing\;all\;the\;terms\;of\;the\;expression\;by\;it}}[/tex]
Hope this helps you out! :D
Ask in comments if any queries arise.
~Just a smiley person helping fellow students :)
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