Divide x³ + x² - 3x + 5 by x - 2..........
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Explanation:
x³ + x² - 3x + 5
x-2 ) x³ + x² - 3x + 5 ( x²
- x^3 -x^2+x
________________
4x^2-4x+5
4x^2 - 4x-4
_______________
-8x+9
clearly , remainder = -8+9
quotient = -x+4
using division algorithm ,
a = b*q+r
= (x^2+x-1)(-x+4)-8+9
= -x^3+3x^2-3x+5
also , 3x^2-x^3-3x+5 ( dividend )
HOPE IT HELPS YOU,
THANK YOU. ☺️
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