Question

Which of the binomials below is a factor of this trinomial? x2 + 6x + 8

A. x + 8
B. x2 + 2
C. x + 2
D. x - 2

Answer 1

x^2+6x+8 can be factored into (x+4)(x+2)
so your answer should be c. x+2

Answer 2

Option D - (x-2)

Explanation:

Given : Trinomial
`x^2+6x+8`

To find : Which of the binomials below is a factor of this trinomial?

Solution :

To find the factor we factorize the given trinomial,

`x^2+6x+8=0`

Applying middle term split,

`x^2-4x-2x+8=0`

`x(x-4)-2(x-4)=0`

`(x-4)(x-2)=0`

So. The factor of the trinomial is (x-4) and (x-2)

From the following options Option D is correct.