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: (x + 7)

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

Hope this helps! :)

Answer 2

Answer:

Answer 4: (x + 7)

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.