what must be added to x⁴+2x³-2x²+x+1 so it is perfectly divisible by x²+x-2
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Step-by-step explanation:
x²+x-2)x⁴+2x³-2x²+x+1(x²+x-1
(-)x⁴(-)x³(+)-2x²
x³+0.x² +x+1
(-)x³(-)x²(+)-2x
-x²+3x+1
(+)-x²(+)-x(-)2
4x-1
4x-1 must be subtracted From x⁴+2x³-2x²+x+1 so that x²+x-2 divides it completely.
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