Final answer:
The binomial of the factor x^2-5x-36 is (x - 9)(x + 4).
Step-by-step explanation:
The binomial of the given quadratic factor is (x - 9)(x + 4).
To determine the binomial, we need to factorize the quadratic expression x^2 - 5x - 36. The factored form will have the form (x - a)(x - b), where a and b are the roots of the quadratic equation.
Factoring the given expression, we find that the roots are 9 and -4. Therefore, the binomial is (x - 9)(x + 4).