Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample problem that has a binomial which IS a factor of the polynomial being divided, and another problem that has a binomial which is NOT a factor of the polynomial being divided.

Question

anonymous · Answer

dang i could have sworn i answered this exact question earlier today.
maybe i should be quiet

sburchette · Answer

You can know if the binomial is a factor by determining whether there is a remainder once you divide them.  If there is a remainder, then the binomial is not a factor of the polynomial.

anonymous · Answer

Alright, thankss .

anonymous · Answer

Create a sample problem that has a binomial which IS a factor of the polynomial being divided, 

start with your polynomial in factored form, say 
$$(x^2+2x+1)(x-2)$$, multiply out, and then you will know that $x-2$ is a factor of the result

anonymous · Answer

Okay, I think I got it . Thanks guys .