We can solve this problem by factoring the quadratic expression x² + 9x + 8.
To factor this quadratic expression, we need to find two numbers that multiply to 8 and add up to 9. These numbers are 1 and 8.
Therefore, we can write x² + 9x + 8 as (x + 1)(x + 8).
So the answer is (x + 1)(x+8) because it is equivalent to x² + 9x + 8 for all values of x.