SOLUTION: check whether 7+3x is a factor of 3x^3 + 7x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: check whether 7+3x is a factor of 3x^3 + 7x      Log On


   

Question 1159538: check whether 7+3x is a factor of 3x^3 + 7x
Answer by ikleyn(52813) About Me  (Show Source):
You can put this solution on YOUR website!
.

Had the binomial (7+3x) been a factor of the polynomial  p(x) = 3x%5E3%2B7x. then 
the number  x= -7%2F3  would be the zero of the polynomial p(x).



But you can easily check on your own, that   p(-7/3)  is not equal to zero.



This contradiction  PROVES  that   7+3x  IS NOT  the factor of 3x^3 + 7x.

The proof is completed.