Question

Which of the binomials below is a factor of this trinomial? x^2-7x-44

Answer 1

Answer:

C. (x -11)

Step-by-step explanation:

The given trinomial is $x^2 - 7x - 44$

Let's factor it. To find factor, we need to find the factors of -44 such that when you add them, we have to get -7

-44 = -11*4

- 7 = -11 + 4

so the correct factors are -11 and 4

Now we can write the middle term - 7x = -11x + 4x

$x^2 - 7x - 44 = x^2 - 11x + 4x - 44$

Now let's group the first two terms and second two terms and factor it.

= x(x - 11) + 4(x - 11)

Here (x-11) is common factor, so we can take outside and rewrite.

= (x - 11)(x + 4)

So the factors are (x - 11) and (x + 4)

Answer is C. (x -11)

Answer 2

X-11
because 
(x-11)(x+4)
when you multiply that you get x^2 - 7x -44