Question

Select the two binomials that are factors of this trinomial. x2 + 6x + 8

Answer 1

x2+6x +8
by middle term splitting
x2+2x+4x+8
x(x+2)+4(x+2)
(x+4)(x+2)

Answer 2

The two binomials are factors of this trinomial $x^2+6x+8$ is "$(x+4)(x+2).$

Step-by-step explanation:

The given trinomial:

$x^2+6x+8$

To find, the two binomials are factors of this trinomial $x^2+6x+8=?$

∴ $x^2+6x+8$

By factorisation method,

Splitting middle term,

$x^2+4x+2x+8$

$=x(x+4)+2(x+4)$

$=(x+4)(x+2)$

Hence,  the two binomials are factors of this trinomial $x^2+6x+8$ is "$(x+4)(x+2).$