Answer:
x^4+8x^3+18x-27=0
Step-by-step explanation:
In a equation of the form
[tex](x-a)^n(x-b)^m=0[/tex]
you have roots in x=a and x=b, and multiplicity of n and m respectively.
Hence, the equation is
[tex](x-(-2))^3(x-1)=0\\(x+2)^3(x-1)=0\\[/tex]
by expanding the factors you have
[tex](x^3+3x^2(3)+3x(3)^2+(3)^3)(x-1)=0\\(x^3+9x^2+27x+27)(x-1)=0\\x^4+9x^3+27x^2+27x-x^3-9x^2-27x-27=0\\x^4+8x^3+18x^2-27=0[/tex]
HOPE THIS HELPS!!
