Check whether (x+1),(x+2),(x+3) are the factors of p(x) =x^3+6x^2+11x+6.
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Answer:
Step-by-step explanation:
X-1
X=1 put value of x
(-1)^3+6(-1)^2+11(-1)+6
-1+6-11+6
12-12=0, so x-1 is a factor
X-2
X=2
(-2)^3+6(-2)^2+11(-2)+6
24-22-2
24-24=0 ,so x-2 is a factor
Similarly,x-3
X=3
(-3)^3+6(-3)^2+11(-3)+6
-27+54-33+6
-21+-2=0,so x-3 is also a factor
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