Answer:
x² + 2x + (3 / (x − 1))
Step-by-step explanation:
Start by setting up the division:
.........____________
x − 1 | x³ + x² − 2x + 3
Start with the first term, x³. Divided by x, that's x². So:
.........____x²______
x − 1 | x³ + x² − 2x + 3
Multiply x − 1 by x², subtract the result, and drop down the next term:
.........____x²______
x − 1 | x³ + x² − 2x + 3
.........-(x³ − x²)
...........----------
...................2x² − 2x
Repeat the process over again. First term is 2x². Divided by x is 2x. So:
.........____x² + 2x __
x − 1 | x³ + x² − 2x + 3
.........-(x³ − x²)
...........----------
...................2x² − 2x
Multiply, subtract the result, and drop down the next term:
.........____x² + 2x __
x − 1 | x³ + x² − 2x + 3
.........-(x³ − x²)
...........----------
...................2x² − 2x
.................-(2x² − 2x)
.................---------------
.....................................3
x doesn't divide into 3, so that's the remainder.
Therefore, the answer is:
x² + 2x + (3 / (x − 1))
Answer:
14
Step-by-step explanation:

now substitute x for -1

now solve


there is your answer! hope this helps! :)
Answer:
the student that is correct is Gene and the solution is x=10
To start set up a fraction with the f(x) on top and g(x) on bottom
(f/g)(x) = (4x - 4)/(x - 1) - This is the function that we are going to use
Plug in -4 for x
(f/g)(-4) = (4(-4) - 4)/(-4 - 1) = (-16 - 4)/(-5) = (-20)/(-5) = 4
So...
(f/g)(-4) = 4
To find the are of a square, we simply square the value of a side
so..

Area = 25 square units