Respuesta :

Answer:

[tex]\frac{x+7}{x-3}[/tex]

Step-by-step explanation:

When you factor each equation, you result in two of the factors canceling out, resulting in [tex]\frac{x+7}{x-3}[/tex].

[Top Equation]

The middle number is 3 and the last number is -28.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 3

Multiply together to get -28

Can you think of the two numbers?

Try -4 and 7:

-4+7 = 3

-4*7 = -28

Fill in the blanks in

(x+_)(x+_)

with -4 and 7 to get...

(x-4)(x+7)

[Bottom Equation]

The middle number is -7 and the last number is 12.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -7

Multiply together to get 12

Can you think of the two numbers?

Try -3 and -4:

-3+-4 = -7

-3*-4 = 12

Fill in the blanks in

(x+_)(x+_)

with -3 and -4 to get...

(x-3)(x-4)