The solution to the division of the given polynomial expression is:
k = (x+3)(x-4)
<h3>Division of polynomials</h3>
The division of the given polynomial can be determined by using the rational root theorem which is a method that is popularly used in determining the solutions to a polynomial equation.
From the information given:
![\mathbf{\dfrac{x^3 -3x^2 - 10x +24}{x-2}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cdfrac%7Bx%5E3%20-3x%5E2%20-%2010x%20%2B24%7D%7Bx-2%7D%7D)
Using the rational root theorem;
![\mathbf{\dfrac{(x-2) \dfrac{x^3 -3x^2 - 10x +24}{x-2} }{x-2}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cdfrac%7B%28x-2%29%20%5Cdfrac%7Bx%5E3%20-3x%5E2%20-%2010x%20%2B24%7D%7Bx-2%7D%20%7D%7Bx-2%7D%7D)
![\mathbf{\dfrac{(x-2)(x^2 -x-12)}{x-2} }}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cdfrac%7B%28x-2%29%28x%5E2%20-x-12%29%7D%7Bx-2%7D%20%7D%7D)
Factor: x² - x - 12
![\mathbf{\dfrac{(x-2)(x+3)(x-4)}{x-2} }}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cdfrac%7B%28x-2%29%28x%2B3%29%28x-4%29%7D%7Bx-2%7D%20%7D%7D)
Cancel out the common factor (x-2)
![\mathbf{=(x+3)(x-4) }}](https://tex.z-dn.net/?f=%5Cmathbf%7B%3D%28x%2B3%29%28x-4%29%20%7D%7D)
Learn more about the division of polynomials here:
brainly.com/question/24662212
#SPJ1
Answer:
0,-12
Step-by-step explanation:
you would put the two x quardinates and subtract them and then do the same for the y quardinates so
5-5 =0
-9-3=-12 so ur answer is 0, -12
Answer:
They feed different water sheds.
Step-by-step explanation:
(pls mark me brainliest if u can)
Have a great day!
Answer:
0.59, 3/5 0.65
Step-by-step explanation:
3/5 = 0.60