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
Find the difference between each number:
-24/4 = -6
144/-24 = -6
The next number is multiplied by -6
You have the first 4 terms
5th term = -864 x -6 = 5184
6th term = 5184 x -6 = -31,104
7th term = -31,104 x -6 = 186,624
8th term = 186,624 x -6 = -1,119,744
Answer
Step-by-step explanation:
I am not an artist so
How is this problem laid out
You replace the y with f(x)
So it becomes f(x)=2x+1