Factor the binomial completely. Select “Prime” if the polynomial cannot be factored.

To factor a binomial completely, look for patterns or common factors. For example, if you have a binomial like , you can recognize this as a difference of squares and factor it into . If the binomial doesn’t fit any specific patterns or doesn’t have common factors, it might be considered “Prime”.

Always remember to check if there’s a greatest common factor (GCF) first! If your binomial is something like , don’t forget to factor out the GCF of 2 first, which leaves you with . If can’t be factored further over the real numbers, then that’s the complete factorization.