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listthepossiblerationalrootsofx^4+4x^3-2x^2-17x-6.listthepossiblerationalrootsofx^4+4x^3-2x^2-17x-6findalloftherootsofthefunctionabove.Keepyourworkneatandorganized

题目详情
list the possible rational roots of x^4+4x^3-2x^2-17x-6.
list the possible rational roots of x^4+4x^3-2x^2-17x-6
find all of the roots of the function above.Keep your work neat and organized
▼优质解答
答案和解析
译:列出 x^4+4x^3-2x^2-17x-6=0的有理根,分解因式:(x+3)(x-2)(x^2+3x+1)=0,即x=-3,x=2
所有的根为:x=-3,x=2,x=1/2*(-3±根号5)