It illustrates distributive property
-3 | 1 0 0 0 0 243

coefficients of the polynomial you're dividing
. |

drop down the leading coefficient
- - - - - - - - - - - - - - - - - - -
. | 1
On the left side of the frame, we write -3 because we're dividing by

. (The algorithm is followed for division of a polynomial by a factor of

.) Since we're dividing a degree 5 polynomial by a degree 1 polynomial, we expect to get a degree 4 polynomial.
-3 | 1 0 0 0 0 243
. | -3

multiply -3 by 1, write in next column, add to 0
- - - - - - - - - - - - - - - - - - -
. | 1 -3
Repeat step for the remaining columns.
-3 | 1 0 0 0 0 243
. | -3 9
- - - - - - - - - - - - - - - - - - -
. | 1 -3 9
-3 | 1 0 0 0 0 243
. | -3 9 -27
- - - - - - - - - - - - - - - - - - -
. | 1 -3 9 -27
-3 | 1 0 0 0 0 243
. | -3 9 -27 81
- - - - - - - - - - - - - - - - - - - - -
. | 1 -3 9 -27 81
-3 | 1 0 0 0 0 243
. | -3 9 -27 81 -243
- - - - - - - - - - - - - - - - - - - - -
. | 1 -3 9 -27 81 0
which translates to

So the bottom row of the frame gives the coefficients of each term in the quotient by descending order. Since the last coefficient is 0, this means the remainder upon division vanishes, i.e.

is exactly divisible by

.
- - -
Another way to get the same result is to use a well-known result: for

,

and in this case

and
220-220r=160
Solve for r to get the discount rate
r=0.2727
r=0.2727×100
r=27.27%
Check
220−220×0.2727
=160
9x + x = 10x
the x has a one in front of it so you just add across
Answer:
40°, 60°, and 80°
Step-by-step explanation:
We know that the sum of the angles of a triangle is equal to 180°.
We can use this equation to solve for these angles:
180 = 2x + 3x + 4x
180 = 9x
20 = x
Then substitute the solution in for x to solve for the angles:
2(20) = 40°
3(20) = 60°
4(20) = 80°
Therefore, the angles are 40°, 60°, and 80°.