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The quotient of (x -3×3-3×2 – 10x + 15) and a polynomial is (x2-5). What is the polynomial?
Question
The quotient of (x -3×3-3×2 – 10x + 15) and a polynomial is (x2-5). What is the polynomial?
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Mathematics
3 years
2021-08-11T14:46:35+00:00
2021-08-11T14:46:35+00:00 1 Answers
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Answers ( )
Answer:
(-3x -3 – 24x/(x²-5))
Step-by-step explanation:
(x – 3x³ – 3x² – 10x + 15) / p = x² – 5
(-3x³ – 3x² – 9x + 15) / p = x² – 5
p = (-3x³ – 3x² – 9x + 15)/(x² – 5) = -3x – 3 – 24x/(x² – 5)
– -3x³ + 15x
———————————
0 – 3x² – 24x + 15
– – 3x² + 15
‐———————————–
0 – 24x + 0