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:
x < -14
Step-by-step explanation:
Step 1: Subtract 6 from both sides.
Step 2: Divide both sides by -3 and flip the inequality sign.
Therefore, the answer is x < -14.
Answer:
x=4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
16 = 4x
16/4 = x
4 = x
Answer:
$30, $75, $45
Step-by-step explanation:
We can set up an equation, where x is an unknown value:
2x+5x+3x=150
10x = 150
x=15
Now that we know what x is, we can plug x in to solve for 2x, 5x, and 3x:
2x=2*15=30
5x=5*15=75
3x=3*15=45
Therefore, the answer is $30, $75, $45
