Factorize x^3 + x^2 + 11x + 6
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2
Step-by-step explanation:
x
3
−6x
2
+11x−6
=x
3
−5x
2
−x
2
+6x+5x−6
=x
3
−5x
2
+6x−x
2
+5x−6
=x(x
2
−5x+6)−1(x
2
−5x+6)
=(x−1)(x
2
−5x+6)
=(x−1)(x
2
−2x−3x+6)
=(x−1)[x(x−2)−3(x−2)]
=(x−1)(x−2)(x−3)
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