Let's do this by Briot-Ruffini
First: Find the monomial root
x - 2 = 0
x = 2
Second: Allign this root with all the other coeficients from equation
Equation = -3x³ - 2x² - x - 2
Coeficients = -3, -2, -1, -2
2 | -3 -2 -1 -2
Copy the first coeficient
2 | -3 -2 -1 -2
-3
Multiply him by the root and sum with the next coeficient
2.(-3) = -6
-6 + (-2) = -8
2 | -3 -2 -1 -2
-3 -8
Do the same
2.(-8) = -16
-16 + (-1) = -17
2 | -3 -2 -1 -2
-3 -8 -17
The same,
2.(-17) = -34
-34 + (-2) = -36
2 | -3 -2 -1 -2
-3 -8 -17 -36
Now you just need to put the "x" after all these numbers with one exponent less, see
2 | -3x³ - 2x² - 1x - 2
-3x² - 8x - 17 -36
You may be asking what exponent -36 should be, and I say:
None or the monomial. He's like the rest of this division, so you can say:
(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 with rest -36 or you can say:
(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 - 36/(x - 2)
Just divide the rest by the monomial.
Answer:
Step-by-step explanation:
We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:
y = 10x
Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:
2(x + y) = xy and we know that y = 10x so
2(x + 10x) = x(10x) and
and
and
x(10x - 22) = 0 so
x = 0 or 10x - 22 = 0 which makes
x equal to 
So x = 2.2 and y = 22.
B a counterclockwise rotation about the origin of 90°
under a counterclockwise rotation about the origin
a point ( x , y ) → (- y, x)
figure Q to figure Q'
( 4,2 ) → (- 2, 4 )
(7, 5 ) → (- 5, 7 )
(3, 7 ) → (- 7 , 3 )
(2, 4 ) → (- 4, 2 )
(5, 4 ) → (- 4, 5 )
the coordinates of the original points of the vertices of Q map to the corresponding points on the image Q'
1. Go on a vacation that costs $3,500
Paying off money for buying a car will not decrease your net worth as you get the car as assets for the money you use. But the depreciates 20% will cause you to lose $3,000 assets. Assuming you are not buying assets at all, go on a vacation that costs $3,500 will increase liability without any effect on assets. Paying up bills will decrease your asset but it also decreases your liability so the net worth wouldn't change.
2. 1) higher 2) lower
Subprime lending is lending money to people with a low credit score that was not really fit for the credit. This means the risk of getting the money back would be higher than prime lending. Since the risk of losing the money is higher, the interest should be higher than prime lending.
3. $200,000
The house price is $250k and the buyer put 20% down which is; 20%*$250k= $50k
Then the rest of the money that needs to be paid by the mortgage would be: $250k-$50k=$200k
4. Lower, Increase
In variable rate loans, the interest will be adjusted by the market. That means the rates will be unpredictable since it was based on the condition of the market. It will be safer for the creditor since he/she will absolutely get the revenue no matter how the market goes. This change is a bit dangerous for the borrower because the number of rates can increase dramatically.
5. Higher, lower
When you pay 30 years mortgage, the total loan is divided by 30 years which was 2 times more than 15 years. Excluding the rates, you can estimate that the 15 years mortgage payment will be twice than 30years mortgage. The total cost would also be lower since the interest rate is applied for 15 years, about half than 30 years.
6. Negative $3,500
Net worth is assets minus liability.
The list of the assets would be:
$500 in short-term savings
$5,000 in her retirement savings account
Total assets= $500+$5,000= $5,500
The list of liability would be:
$1,500 in credit card debt
student loan debt of $7,500
Total liability= $1,500+ $7,500= $9,000Net worth= $5,500- $9,000= - $3,500
