check whethee 7+3x is a factor of 3x³+7x.
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if 7 +3x is a factor of 3x³+7x
Then, 7+3x=0
3x=-7
x=-7/3
Putting the value of x in 3x³+7x
3(-7/3)³+7(-7/3)
3(-343/27) - 49/3
-343/9 - 49/3
-343-147/9
490/9
Since it is not equals to 0. Therefore 7+3x is not the factor of the given polynomial.
Hope it helps you!
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