SOLUTION: suppose you divide a polynomial by a binomial. how do you know if the binomial is a factor of the polynomial?

Question 588876: suppose you divide a polynomial by a binomial. how do you know if the binomial is a factor of the polynomial?
Found 2 solutions by richard1234, KMST:
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
If the remainder is 0.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
If the zero of the binomial is a zero of the polynomial, the binomial is a factor of the polynomial.
For example, is a factor of
because
is the zero of and

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