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Question

Prove if 7x+3x is a factor of 3x3+7x


Solution

do you mean 7+3x
if so solution is
Apply remainder theorem 
7 + 3x =0 
 3x = - 7 
 x = - 7/3
Replace x by - 7/3 we get 
3x3 + 7x
=3(-7/3)3 + 7(-7/3)
=3(-343/27) – 49/3
= (-343/9) – 49/3
= -590/9
This value is not equal to 0 
 so 7 + 3x is not a factor of expression 3x3 + 7x

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