Answer:
Remainder: 10
Step-by-step explanation:
Given:
We need to find the remainder of the division polynomial.
Using synthetic division:
-2 | 3 2 -1 2 -14 |
-6 8 -14 24
3 -4 7 -12 10
Please see the attachment for steps.
At last we get a number 10.
Therefore, 10 is remainder of division.
The total cost of rice and beans bought by Gabriel is 6b + 4r.
The simplified expression of the final cost is 4b + 3r.
<h3>What is simplification?</h3>Simplification can be defined as a process of replacing a mathematical expression by the cancellation of common factors, regrouping of terms in the same variable to get the more simple form of the given expression.
Given that
6b + 4r represents the total cost of the rice and beans Gabriel bought.
He returns 2 bags of beans and 1 bag of rice.
This can be written as,
Then, the total number of bags of rice and beans is given as,
When we simplify the above equation, we get,
Hence we can conclude that the expression for rice and beans after the return is (4b+3r).
To know more about simplification, follow the link given below.