Question

Which binomial is a factor of:


`{x}^(2) + 9x + 14`
Answer choice 1 :

`(x - 7)`
Answer choice 2 :

`(2x - 4)`
Answer choice 3 :

`(x - 2)`
Answer choice 4 :

`(x + 7)`
​

Answer 1

Answer 4: (x + 7)

Step-by-step explanation:

We can say that
`x^2 + 9x + 14` is
`x^2 + 7x + 2x + 14`, and if you factor x out of
`x^2 + 7x` and you factor 2 out of
`2x + 14`, you get that
`x(x + 7) + 2(x + 7)`, and then since you're multiplying x + 7 by x and 2, you can say that this is equal to
`(x+2)(x+7)`, and one of the factors is x+7, which is answer 4.

Answer 2

Answer: (x + 7)

—> When you factor x^2 + 9x + 14 you get (x + 2) and (x + 7)

Hope this helps! :)