How do I solve for c
2 answers:
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ANSWER
The remainder is
EXPLANATION
Let
We shall apply the remainder theorem to obtain the remainder when
is divided by
According to the remainder theorem, if a polynomial
is divided by
then the remainder is
So we set
and solve for
to obtain,
We now substitute -5 into the given polynomial to find the remainder.
This gives us,
This will simplify to,
Therefore the remainder is
The remainder is
EXPLANATION
Let
We shall apply the remainder theorem to obtain the remainder when
is divided by
According to the remainder theorem, if a polynomial
is divided by
then the remainder is
So we set
and solve for
to obtain,
We now substitute -5 into the given polynomial to find the remainder.
This gives us,
This will simplify to,
Therefore the remainder is
Answer:
The number of different ways to arrange the 9 cars is 362,880.
Step-by-step explanation:
There are a total of 9 cars.
These 9 cars are to divided among 3 racing groups.
The condition applied is that there should be 3 cars in each group.
Use permutation to determine the total number of arrangements of the cars.
- For group 1:
There are 9 cars and 3 to be allotted to group 1.
This can happen in ways.
That is, ways.
- For group 2:
There are remaining 6 cars and 3 to be allotted to group 2.
This can happen in ways.
That is, ways.
- For group 3:
There are remaining 3 cars and 3 to be allotted to group 3.
This can happen in ways.
That is, ways.
The total number of ways to arrange the 9 cars is:
Thus, the number of different ways to arrange the 9 cars is 362,880.