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this is correct ans
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Let p(x) =x
3
+6x
2
+11x+6
Put x=–1
p(–1) =(–1)
3
+6(–1)
2
+11(–1)+6=–1+6–11+6=0
∴(x+1) is a factor of p(x)
So, we cam break up terms of p(x) as follows.
p(x)=x
3
+6x
2
+11x+6
Therefore, the integral roots of the given equation is find out as:
p(x)=0
(x+1)(x+2)(x+3)=0
x=−1,−2,−3
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