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Answer :
Final Answer:
The quotient when (28x⁷ + 21x⁶ − 42x²) is divided by -7x² is -4x⁵ - 3x⁴.
Explanation:
To find the quotient when (28x⁷ + 21x⁶ − 42x²) is divided by -7x², perform the polynomial division:
-4x⁵ - 3x⁴
______________________
-7x² | 28x⁷ + 21x⁶ - 42x²
28x⁷ - 21x⁴
______________________
21x⁶ - 42x⁴
21x⁶ - 15x⁴
______________________
-27x⁴ - 42x²
-27x⁴ + 18x²
______________________
-60x²
So, the quotient is -4x⁵ - 3x⁴, and the remainder is -60x².
Learn more about polynomial division here:
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