Answer:
This question was worded weirdly however I am assuming this is algebra and you need the equation. So here- -2(q-3) or -2q+6
Step-by-step explanation:
Distribute the -2, to all the terms in the parenthesis of -2(q-3) you get 2q+6
If you didnt know how to get -2(q-3), -2(multiplied) by q-3, you use parenthesis to make sure you know it is multiplication in front of the parenthesis.
Hope I could help!
-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
Answer:
0
Step-by-step explanation:

Answer:
Step-by-step explanation:
Ben drinks 3 1/2 liters of tea every 40 minutes.
This means that he would drink 1 3/4 of tea every 20 minutes (divide both sides by 2).
Now, let's multiply each side by 3.
1.75 * 3 = 5.25 (aka 5 1/4)
20 * 3 = 60 minutes (an hour)
He drinks 5 1/4 liters of tea in one hour.