Which of the binominals below is a factor of this trinomial? x2-10x-39

a. x^2+13

b. x-13

c. x+6

d. x-6

b

Step-by-step explanation:

given x² - 10x - 39

since the coefficient of the x² term is 1

consider the factors of - 39 (constant term) which sum to give - 10 (the coefficient of the x term)

The factors are - 13 and + 3, hence

x² - 10x - 39 = (x - 13) (x + 3) ← in factored form

Hence (x - 13) is a factor → b