Answer:
Let f(x)=x^3+6x^2+11x+6
for x =-1 f(-1)=(-1)^3+6(-1)^2+11(-1)+6
= -1+6-11+6
=12-12=0
Step-by-step explanation:
x^3+6x^2+11x+6
=(x+1)(x^2+5x+6)
=(x+1)(x^2+2x+3x+6)
=(x+1)(x+2)(x+3)
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Verified answer
Answer:
Let f(x)=x^3+6x^2+11x+6
for x =-1 f(-1)=(-1)^3+6(-1)^2+11(-1)+6
= -1+6-11+6
=12-12=0
Step-by-step explanation:
x^3+6x^2+11x+6
=(x+1)(x^2+5x+6)
=(x+1)(x^2+2x+3x+6)
=(x+1)(x+2)(x+3)