Given that -2 is a double root of p(x)=x^4-2x^3-27x^2-52x-28. Find all the roots

Answer 1

Since x=-2 is double root of p(x)=x^4-2x^3-27x^2-52x-28, then we can divide p(x) by (x+2)^2 and we get x^4-2x^3-27x^2-52x-28 =(x+2)^2*(x^2-6x-7

Now you can solve (x+2)^2*(x^2-6x-7)=0