Check whether 7+3x is a factor of 3x^3+7x ? [ncert]

                              

Now take 7+3x=0 =>3x= -7 => x= -7/3

=> If p(x)=3x^3+7x , then,

=> p(-7/3) = 3(-7/3)^3+7(-7/3)

=> p(-7/3)= 3(-343/27)-49/3

=> p(-7/3)= -343/9 -49/3

=> p(-7/3)=(-343-147)/9

=> p(-7/3)= -490/9 ≠ 0

=> -7/3 is not a zero of 3x^3+7x  or 7+3x is not a factor of 3x^3+7x.