Find how many real zeros polynomial has for constant


Polynomial P(x)=x^4-4x^3+4x^2-1 has the local maximum at (1,0) and local minimum at (0,-1) and (2,-1). Factor polynomial completely and draw its graph. Find how many real zeros polynomial Q(x)=P(x)+c has for every constant c.

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Mathematics: Find how many real zeros polynomial has for constant
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