Given:
Dividend = 
Divisor = 
To find:
The remainder by using the synthetic division.
Solution:
We have,
Dividend = 
The coefficients of dividend are 2, 5, -3. Write these elements in the top row of synthetic division.
Divisor = 
The value of divisor is 0 at
. So, write -3 on the left side of division.
Write down the first coefficient of dividend in bottom row, then multiply it by -3 and write the result below the next coefficient of dividend then add the coefficient and write the result in bottom row, then repeat the steps up-to last coefficient.
-3 | 2 5 -3
| -6 3
------------------------------------------
2 -1 0
-----------------------------------------
Here, the first two elements of the bottom row represent the coefficient of quotient and last element represent the remainder.
Therefore, the remainder is 0.
Hello!
Find the coordinate where x = -1:
At x = -1, y = 1, so the coordinate is (-1, 1).
Find the coordinate where x = 2:
At x = 2, y = -2, so the coordinate is (2, -2).
Find the rate of change between the points using the slope formula:

Plug in the coordinates above:

Simplify:
Thus, the rate of change between the points is -1.
Answer:
a=0.17
b=2/9
c=1/4
Step-by-step explanation:
1/5 is equal to 0.2 and a is lower than 1/5. The only option that is lower than 1/5 is 0.17. We know that c is greater than b because it's shown on the number line. 2/9 is equal to 0.22 and 1/4 is equal to 0.25. So, 1/4 is greater than 2/9 and c is greater than b. So that would make c = 1/4, and by default 2/9 and b are the only ones left so b= 2/9.
A' will be (-2,5). B' will be (-1,9). C' will be (0,6).
D is the ans. Square root of 49 equals to 7