एक्स पावर 4 प्लस एक्स पावर 3 माइनस 2 एक्स स्क्वायर माइनस एक्स प्लस वन इज डिवाइडेड बाय एक्स प्लस वन
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x^4 + x^3 - 2x^2 - x + 1
if x+1 divides above polynomial, x = -1 should make the value of above polynomial zero
(-1)^4 + (-1)^3 - 2(-1)^2 - (-1) + 1
= 1 - 1 + 2 + 1 + 1
= 5 - 1
= 4
value is not zero
so x+1 is not a factor of the given polynomial. the given polynomial when divided by x+1 will leave remainder 4.
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