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3 votes
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)


Which binomial is a factor of: {x}^(2) + 9x + 14 Answer choice 1 : (x - 7) Answer-example-1

2 Answers

8 votes

Answer:

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.

User Roberto Russo
by
7.5k points
8 votes
Answer: (x + 7)

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

Hope this helps! :)
User Abhilb
by
6.8k points