When a trinomial is factored as (x+m) (x+n), what is the sum of m and n?

A. The degree of the trinomial

B. The constant term of the trinomial

C. The coefficient of the x-term of the trinomial

D. The coefficient of the x^2-term of the trinomial

Question

Mathematics

Gloria Sweeney

25 October, 02:23

When a trinomial is factored as (x+m) (x+n), what is the sum of m and n?

A. The degree of the trinomial

B. The constant term of the trinomial

C. The coefficient of the x-term of the trinomial

D. The coefficient of the x^2-term of the trinomial

+3

Answers (1)

Know the Answer?

Niko Beard · Answer 1

C. The coefficient of the x-term of the trinomial

Here is the reason why:

(x+m) (x+n)

x^2 + xm + xn + mn

x^2 + x (m+n) + mn

So, as you can see the sum of m and n is equal to the coefficient of the x-term of the trinomial.

When a trinomial is factored as (x+m) (x+n), what is the sum of m and n?A. The degree of the trinomialB. The constant term of the trinomialC. The coefficient of the x-term of the trinomialD. The coefficient of the x^2-term of the trinomial

When a trinomial is factored as (x+m) (x+n), what is the sum of m and n?

A. The degree of the trinomial

B. The constant term of the trinomial

C. The coefficient of the x-term of the trinomial

D. The coefficient of the x^2-term of the trinomial