PLEASE HELP ASAP SHOW WORK

Step-by-step explanation:

We have to find (x³ - 5x² - 12x + 36)/(x - 6).

You can do this by the following methods:

I have chosen to do by Comparing Coefficients.

x³ - 5x² - 12x + 36

= (x - 6)(Ax² + Bx + C)

= Ax³ + (B - 6A)x² + (C - 6B)x - 6C.

By Comparing Coefficients, we have:

Solving them we have A = 1, B = 1, C = -6.

Therefore x³ - 5x² - 12x + 36

= (x - 6)(x² + x - 6)

= (x - 6)(x + 3)(x - 2).

Hence the other 2 dimensions are

(x + 3) and (x - 2).

No, the ratios are not equivalent to 2/3. To create an equivalent ratio, you need to multiply both numbers in the original ratio by the same number.

I took a test and it said that this was correct. I hope this helps!