What is the parity f(x)=x^2(x-2)^3(x+3) ?

The parity f(x)=x^2(x-2)^3(x+3) is Neither even nor odd

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parity f(x)=x^2(x-2)^3(x+3)

parity

f (x) = x^{2} (x - 2)^{3} (x + 3)

Neither even nor odd

Solution steps

f (x) : x^{6} - 3 x^{5} - 6 x^{4} + 28 x^{3} - 24 x^{2}

f (- x) : x^{6} + 3 x^{5} - 6 x^{4} - 28 x^{3} - 24 x^{2}

- f (x) : - x^{6} + 3 x^{5} + 6 x^{4} - 28 x^{3} + 24 x^{2}

Check parity of

x^{6} - 3 x^{5} - 6 x^{4} + 28 x^{3} - 24 x^{2}

Check if Even:

False

Check if Odd:

False

Neither even nor odd

What is the parity f(x)=x^2(x-2)^3(x+3) ?
The parity f(x)=x^2(x-2)^3(x+3) is Neither even nor odd