Using the long division method, determine the remainder when the polynomial 4x5 + 2x4 - x3 + 4x2 - 7 is divided by (x - 1)
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Answers
Hey friend.!! here's your answer
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Remainder : 2
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#Hope its help
Given:
The given polynomial is P(x) = 4x⁵ + 2x⁴ - x³ + 4x² - 7
Divisor is f(x) = (x - 1)
Find:
The remainder by the long division method.
Answer:
The remainder is 2.
Solution:
Long division method
Dividend = P(x) = 4x⁵ + 2x⁴ - x³ + 4x² - 7
Divisor = f(x) = (x - 1)
(x - 1) 4x⁴ + 6x³ + 5x² + 9x + 9
4x⁵ - 4x⁴
- +
6x⁴ - x³
6x⁴ - 6x³
- +
5x³ + 4x²
5x³ - 5x²
- +
9x² - 7
9x² - 9x
- +
9x - 7
9x - 9
- +
2
∴ Quotient = 4x⁴ + 6x³ + 5x² + 9x + 9
Remainder = 2
Hence, the remainder is 2.
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