check whether 7+3x is a factor of 3x^3+7x
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Apply remainder theorem
7+3x=0
3x=−7 or x=
3
−7
Replace x= 3−7
in the equation, we get3x3+7x =3(3−7) 3+7( 3−7 )=3( 27−343 )− 349= 9343 − 349
This value is not equal to zero then 7+3x is not a factor of 3x3+7x
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