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The answer depends on the what the leading coefficient is of!
what is the leading coefficient -3x+8
The difference depends on what m and n equal. If they are both variable then it dpends on what the equations are for each variable.
Not quite. The point at infinity cannot be regarded as a maximum since the value will continue to increase asymptotically. As a result no polynomial of odd degree can have a maximum. Only polynomials of an even degree whose leading coefficient is negative will have a global maximum.
No.