What should be subtracted from the polynomial P ( x ) = 6 x 4 + 5 x 3 + 4 x − 4 to make it divisible by 2 x 2 + x − 1 ?
Answers
Answer:
Thanks for giving a point
Given : P ( x ) = 6x⁴ + 5x³ + 4x − 4
To Find : What should be subtracted from the polynomial P ( x ) to make it divisible by 2x² + x − 1
Solution:
3x² + x + 1
2x² + x − 1 _| 6x⁴ + 5x³ + 4x − 4 |_
6x⁴ + 3x³ -3x²
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2x³ + 3x² + 4x - 4
2x³ + x² - x
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2x² + 5x - 4
2x² + x - 1
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4x - 3
Remainder = 4x - 3
Hence 4x - 3 should be subtracted from the polynomial P ( x ) to make it divisible by 2x² + x − 1
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