pls solve this question with steps n explanation. ques.19
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let us divide p(x) by 2x² + x - 1
2x² - 2x - 1
_______________________________
2x² + x -1 | 4x⁴ - 2x³ - 6x² + x - 5
-( 4x⁴ + 2x³ - 2x²)
__________________
-4x³ - 4x² + x - 5
-(-4x³ - 2x² + 2x)
_______________________
-2x² - x - 5
-(-2x² - x + 1)
_______________________
-6
the remainder is (-6)
∴ (-6) should be subtracted from p(x).
2x² - 2x - 1
_______________________________
2x² + x -1 | 4x⁴ - 2x³ - 6x² + x - 5
-( 4x⁴ + 2x³ - 2x²)
__________________
-4x³ - 4x² + x - 5
-(-4x³ - 2x² + 2x)
_______________________
-2x² - x - 5
-(-2x² - x + 1)
_______________________
-6
the remainder is (-6)
∴ (-6) should be subtracted from p(x).
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