Check whether 7+3x is a factor of 3x^3 +7x.
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let's do it by factor theorem,
7+3x=0
3x=-7
x=-7/3
now,
3(-7/3)³+7(-7/3)
3(-343/27)-49/3
-1029/27-49/3
-1029-441/27
-588/27
no it's not a factor of 3x³+7x.
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I think you understand
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