using remainder theoram, check if (3x3+7x)is a multiple of (7+3x)?
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Apply remainder theorem :
7 + 3x = 0
3x = -7 or x = -7/3
Replace, x = -7/3 in the equation , we get
3x³ + 7x = 3(-7/3)³ + 7(-7/3)
= 3 (-343/27) - 49/3
= 343/9 - 49/3
This value is not equal to zero then 7 + 3x is not a factor of
3x³ + 7x
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