Which of the binomials below is a factor of this trinominal x^2-10x-39
a.)x+6
b.)x-6
c.)x-13
d.)x^2+13

C

Step-by-step explanation:

To factorise the quadratic

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

The factors are - 13 and + 3, since

- 13 × 3 = - 39 and - 13 + 3 = - 10, hence

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

x - 13 is a factor → C

b

step-by-step explanation:

b