Which of the binomials below is a factor of this trinomial x^2+13x+40

The factor form of the given equation is . It means either (x+8) or (x+5) binomial is a factor of given trinomial.

Step-by-step explanation:

The given trinomial is

We have to find the factor form of the given trinomial.

Written the middle term as 8x+5x.

Taking out common factors from each parenthesis.

Taking out common factors.

The factor form of the given equation is . It means either (x+8) or (x+5) binomial is a factor of given trinomial.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2