Question

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

Answer 1

Factor the equation:

x^2+13x+40

x^2+5x+8x+40

x(x+5)+8(x+5)

(x+5)(x+8)

Those are the two factors...

Answer 2

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

Explanation:

The given trinomial is

`x^2+13x+40`

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

Written the middle term as 8x+5x.

`x^2+8x+5x+40`

`(x^2+8x)+(5x+40)`

Taking out common factors from each parenthesis.

`x(x+8)+5(x+8)`

Taking out common factors.

`(x+8)(x+5)`

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