NAME
7. Factor each quadratic expression,

Step-by-step explanation:

x² - 2x - 35 = (x - 7)(x + 5).

x² + 3x - 54 = (x + 9)(x - 6).

x² - 4x + 4 = (x - 2)².

x² - 121 = (x + 11)(x - 11).

2x² + x - 15 = (2x - 5)(x + 3).

6x² - 7x - 24 = (3x - 8)(2x + 3).

3x² - 10x + 8 = (3x - 4)(x - 2).

10x² + 9x - 9 = (5x - 3)(2x + 3).

12x² + 25x + 12 = (4x + 3)(3x + 4).

15x² - x - 6 = (5x + 3)(3x - 2).

The steps described in the question are correct and correspond to a future value ordinary annuity formula, which can be seen in the image attached below.

The only thing I will changeis the value of the monthly interest rate.

I will use this formula, which gives a more accurate figure:

Where:

Plugging the amounts we obtain:

So our monthly interest rate is 0.351%

Now, we can solve the annuity equation

22,000 = X (1 - (1 + 0.043)^-6)) / 0.043

22,000  = X (5.927)

22,000 / 5.927 = X

3,711.8 = X

The monthly payments are therefore $3,711.8 each month.