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

To factor a binomial completely, first look for common factors in the terms. If the binomial is something like \( ax + b \), check for constants that can be factored out or see if it can be expressed in the form of a difference of squares, such as \( a^2 - b^2 = (a-b)(a+b) \). If neither approach works, it might be prime. For example, \( x^2 - 9 \) can be factored into \( (x - 3)(x + 3) \). If you come across something like \( 2x + 5 \), that’s prime since it doesn’t have common factors or a recognizable structure for factoring. Happy factoring!