Question

X + 4 is prime x2 – 9 can be factored using the formula.

Answer 1

We are given two binomials: x+4 , x^2-9.

x+4 can't be factored. Therefore,  it is a prime.

Let us work on x^2-9.

9 could be written as 3^2.

Therefore, x^2-9 = x^2 - 3^2.

Now, we can apply difference of the squares formula to factor it.

We know a^2 -b^2 = (a-b) (a+b).

Therefore,  x^2 - 3^2 can be factored as (x-3) (x+3).

So, x^2-9 is not a prime binomial because it can be factored as (x-3) (x+3).

Answer 2

Answer:

difference-of-squares

Step-by-step explanation:

x + 4 is prime

x2 – 9 can be factored using the

difference-of-squares  formula.