How do you find the exact relative maximum and minimum of the polynomial function of $x^4+x^3-6x^2-4x+8$ ?

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Answer 1 · 2016-07-30T10:58:10

At x=-2, p(x)=0, minimum
At x= $(5+sqrt57)/8$
p(x)= enter image source here , minimum

At x= $(5-sqrt57)/8$

p(x)= enter image source here

enter image source here

How do you find the exact relative maximum and minimum of the polynomial function of x^4+x^3-6x^2-4x+8x^4+x^3-6x^2-4x+8?