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

Question

Mathematics

Macintosh

16 December, 18:48

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

+4

Answers (1)

Know the Answer?

Elliot Barajas · Answer 1

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

Which of the binomials below is a factor of this trinominal x^2-10x-39A.) x+6B.) x-6C.) x-13D.) x^2+13

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