17. The LCM of the polynomials x + 3x² + 3x +1, x² + 2x +1 and x² - 1 is
1) (x2-1)(x+1)' 2) (x² +1)(x - 1)
3) (x²-1)(x-1)
4) (x+
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x
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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