SOLUTION: g(x)= x^4-3x^3+2x^2+x-1. Find the range. I have factored to (x-1)^2(x^2-x-1) and used quadratic equation to find roots of 0.618 and -1.618. What do I need to do from he

Question 978157: g(x)= x^4-3x^3+2x^2+x-1. Find the range.
I have factored to (x-1)^2(x^2-x-1) and used quadratic equation to find roots of 0.618 and -1.618.
What do I need to do from here to find the value of the minimum y value?

Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
"Find the range."
g(x) is a polynomial function. Range will be all real numbers and also domain is all real numbers.

You could try derivative to help find minimum (or maximum) y values.

.
Where is this equal to 0? (they may be real, but not rational.)

There is a MAXIMUM (local) for x=1. Try then using this root to decompose 4x^3-9x^2+4x+1 into factors.
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