factor of polynomials x4 - 3x + 2, x3 - 3x2 + 3x-1?
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Answer:
4
−3x+2=x
4
−x
3
+x
3
−x
2
+x
2
−x−2x+2
=x
3
(x−1)+x
2
(x−1)+x(x−1)−2(x−1)
=(x−1)[x
3
+x
2
+x−2]
x
3
−3x
2
+3x−1=(x−1)
3
x
4
−1=(x−1)(x+1)(x
2
+1)
HCF=x−1
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