Check whether x + 1 is a factor of x square 3 + x + x squared 2 + 1
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Answer:
Consider the given polynomial,
x
2
−x+1 is a factor of x
3
−3x
2
+3x−2 when Remainder is zero.
As shown in the figure.
Quotient is x−2.
Remainder is 0.
Hence, x
2
−x+1 is a factor of x
3
−3x
2
+3x−2
Step-by-step explanation:
Consider the given polynomial,
x
2
−x+1 is a factor of x
3
−3x
2
+3x−2 when Remainder is zero.
As shown in the figure.
Quotient is x−2.
Remainder is 0.
Hence, x
2
−x+1 is a factor of x
3
−3x
2
+3x−2
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