Divide. If there is a remainder, include it as a simplified fraction. (-9c^8 – 7c^7) ÷ c^3
A) -9c^5 – 7c^4
B) -9c^5 – 7c^4 + R
C) -9c^5 – 7c^4 + c
D) -9c^5 – 7c^4 + 1
Divide and Simplify the Expression with Remainder (-9c^8 – 7c^7) ÷ c^3
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To divide the expression (-9c^8 – 7c^7) by (c^3), we divide each term of the polynomial by (c^3).
1. For the first term:
[
-9c^8 ÷ c^3 = -9c^{8-3} = -9c^5
]
2. For the second term:
[
-7c^7 ÷ c^3 = -7c^{7-3} = -7c^4
]
Therefore, the quotient is:
[
-9c^5 – 7c^4
]
Since there is no remainder, we do not add anything extra. The final answer is:
[
-9c^5 – 7c^4
]
So, the correct answer is A) -9c^5 – 7c^4.