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

To factor a binomial completely, you first need to check if there is a common factor in the terms. For example, if you have a binomial like \(6x^2 - 12x\), you can factor out the greatest common factor (GCF), which is \(6x\), resulting in \(6x(x - 2)\). However, if you're dealing with something like \(x^2 + 4\), this binomial doesn't have any rational factors and would be considered prime. Always look for opportunities to factor out common terms or recognize patterns like the difference of squares! Alternatively, you could check if the expression can be rewritten as a product of simpler terms using techniques like grouping or adjusting to recognizable identities. If both terms lack common factors and don't fit known factoring patterns like perfect squares or the sum/difference of cubes, then it might just be prime!