Answer:
f(x) = -x³ + 3x² + 4x - 12
Step-by-step explanation:
f(x)=(x+2)(-x+3)(x-2)
Step 1. Use the difference of two squares
(x + 2)(x - 2) = x² - 4
f(x) = (-x + 3)(x² - 4)
Step 2. Long multiplication
x² - 4
<u>-x + 3 </u>
-x³ + 4x
<u> + 3x² - 12</u>
-x³ + 3x² + 4x - 12
f(x) = -x³ + 3x² + 4x - 12
Answer:
13+x
Step-by-step explanation:
all you have to do is 9+4 which is 13 and leave the +x so you get 13+x as your answer
The factorization: (x-9) (x+12) (AC method)
X intercepts: (9,0), (-12,0)
Y intercepts: (0, -108)
![\frac{ {x}^{2} - 7x + 12}{ {x}^{2} - x - 12 } \\ = \frac{ {x}^{2} - 4x - 3x + 12 }{ {x}^{2} - 4x + 3x - 12 } \\ = \frac{x(x - 4) - 3(x - 4)}{x(x - 4) + 3(x - 4)} \\ = \frac{(x - 3)(x - 4)}{(x + 3)(x - 4)} \\ = \frac{x - 3}{x + 3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20%20-%207x%20%2B%2012%7D%7B%20%7Bx%7D%5E%7B2%7D%20-%20x%20-%2012%20%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20-%204x%20-%203x%20%2B%2012%20%7D%7B%20%7Bx%7D%5E%7B2%7D%20-%204x%20%2B%203x%20-%2012%20%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7Bx%28x%20-%204%29%20-%203%28x%20-%204%29%7D%7Bx%28x%20-%204%29%20%2B%203%28x%20-%204%29%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B%28x%20-%203%29%28x%20-%204%29%7D%7B%28x%20%2B%203%29%28x%20-%204%29%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7Bx%20-%203%7D%7Bx%20%2B%203%7D%20)
x² - x - 12 ≠ 0
x² - 4x + 3x - 12 ≠ 0
x (x - 4) + 3 (x - 4) ≠ 0
(x + 3)(x - 4) ≠ 0
x ≠ -3 or x ≠ 4
(B)
Answer:
look up answer key realy would help
Step-by-step explanation: