Factor the polynomial.

To factor the polynomial , let’s first make a substitution. Let . Then, the polynomial can be rewritten as:

Now, we need to factor this quadratic polynomial. We look for two numbers that multiply to and add up to . Those numbers are and . Thus, we can factor it as:

Substituting back :

Next, we can factor further since it is a difference of squares:

Thus, the complete factorization of the original polynomial is:

And that’s your fully factored polynomial!