what must be added to x 4 + 2 x cube minus 2 X square + x minus 1 so that the resulting polynomial is divisible by X square + 2 x minus 3
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x⁴+2x³-2x²+x-1=0 is the given equation
we have to divide with
x²+2x-3
x²+2x-3) x⁴+2x³-2x²+x-1 ( x²+1
x⁴+2x³-3x²
(-). (-). (+)
------------------------------ ( change the signs)
0+0+x²+x-1
x²+2x-3
(-). ( -). (+)
----------------------------
-x+2
remainder :- ( -x+2)
quotient. :-. ( x²+1)
we have to divide with
x²+2x-3
x²+2x-3) x⁴+2x³-2x²+x-1 ( x²+1
x⁴+2x³-3x²
(-). (-). (+)
------------------------------ ( change the signs)
0+0+x²+x-1
x²+2x-3
(-). ( -). (+)
----------------------------
-x+2
remainder :- ( -x+2)
quotient. :-. ( x²+1)
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