What is the solution of x⁴– 3x³ + x²+ 3x – 2 < 0

Hello, let's note

So we can put (x-1) in factor. We are looking for a and b such that

We identify the like terms, it comes

a-1=-3 <=> a = -2

b-a=1 <=> b = 1 + a = -1

2-b=3

So it comes.

And we can go further using the same method to find that

The sum of the zeroes is 1=2-1 and the product is -2=(-1)*2, so, we can factorise.

The sign of f(x) is the same as the sign of (x+1)(x-2) as a square is always positive.

To find the sign of a product, we can apply the following.

"- multiplied by - gives +"

"+ multiplied by + gives +"

"- multiplied by + gives -"

"+ multiplied by - gives -"

This is this what we are doing below.

So, to answer the question

Thank you.

r = 78539458390583095803458309458039485093485 or just 3

step-by-step explanation: