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Answer
The result of dividing
by
is
with a remainder of
, so it can be written as
.
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Mind Expander
To divide the polynomial
by
, we can use polynomial long division.
- Divide the first term of the dividend
by the first term of the divisor to get . - Multiply
by to get . - Subtract
from :
- Now, divide
by to get . - Multiply
by to obtain . - Subtract
from :
So, the quotient is
and the remainder is
.
Therefore, we can express the result as:
This is the final answer.