need help inserted pic

Question

brandon22 · Answer

attachment

anonymous · Answer

Are you trying to divide the equations?

brandon22 · Answer

idk what to do

brandon22 · Answer

simplify

mathstudent55 · Answer

Start by factoring the numerator and denominator.

brandon22 · Answer

@alffer1

brandon22 · Answer

im confused sorry guys idk what im doing

mathstudent55 · Answer

There is no solve here. This is not an equation since there is no equal sign. This is simply the division of two polynomials.
First, factor the two trinomials.

brandon22 · Answer

idk what you are saying

anonymous · Answer

Do you not know how to factor? $$(a^2 + abx + b^2)$$$$(a \pm b) (a \pm b)$$

brandon22 · Answer

k ill figure it out myself

anonymous · Answer

Thats not what I meant. Listen to what @mathstudent55 is saying/typing...

brandon22 · Answer

still i aint good at math so

anonymous · Answer

Lets start with the first one then.. What two numbers when multiplied together equal 14 also give you 9 when added?

Like 4 and 3 give you 7 when added and 12 when multiplied...

mathstudent55 · Answer

You need to factor the numerator and the denominator.

$\dfrac{x^2 + 9x + 14}{x^2 + 11x + 28} $

Both the numerator and denominator are trinomials of the form $x^2 + ax + b $.

The factoring for both is a simple, one-step process.

mathstudent55 · Answer

For the numerator, you need to find two factors of 14 that add to 9.
What are two numbers that multiply to 14 and add to 9?

brandon22 · Answer

7 and 2

mathstudent55 · Answer

Great.
Now let's look at the denominator. It's a similar procedure.
What are 2 numbers that multiply to 28 and add to 11?

brandon22 · Answer

7 and 4

mathstudent55 · Answer

Great.
Now we can factor both the numerator and the denominator:

$\dfrac{(x + 7)(x + 2)}{(x + 7 )(x + 4) } $

mathstudent55 · Answer

Now you see that we have a common factor in the numerator and the denominator. We can reduce the fraction by dividing the x + 7 factor in the numerator by the x + 7 factor in the denominator.

brandon22 · Answer

is it x+2 over x+7

mathstudent55 · Answer

$\dfrac{\cancel{(x + 7)}(x + 2)}{\cancel{(x + 7 )}(x + 4) }$

$\dfrac{x + 2}{x + 4 }$

This is the final answer.

mathstudent55 · Answer

Be careful, the two factors of x + 7 were canceled. We are left with x + 4 in the denominator.