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Answer
The result of dividing
by
is
.
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To divide
by
, we can use polynomial long division.
- Divide the leading term of the dividend
by the leading term of the divisor to get . - Multiply the entire divisor
by :
. - Subtract this result from the original polynomial:
. - Now, divide the leading term of the new polynomial
by the leading term of the divisor to get . - Multiply
by the entire divisor:
. - Subtract again:
.
So,
divided by
gives you
with a remainder of
.
Thus,
.