You can put this solution on YOUR website! Solve the polynomial inequality
First, we need to factor the polynomial. Solving the equation
using Cardano formula is rather difficult. Let's look for an
integer root first.
It's well known that the integer root of a polynomial with integer
coefficients is a divider of the constant term. A quick check shows
that 3 is a root.
Now, the original polynomial can be divided by (x-3).
By solving the square equation, we get
The polynomial is positive when x is large, the graph intersects
X axis at 5 and touches it at 3.
So the answer is:
and
