Assignment:
Q1) Factor completely: f(x)=x^3-3x^2-4x+12
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Q2) Find the remainder when x^3+2x^2+5 is divided by x-2.
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Q3) Find an equation for a polynomial function, f(x) , of degree 3 with zeros 0, 1, -2.
a) f(x)=x^3+x^2-2x
b)f(x)=2x^3-3x^2+5x
c)f(x)=x^3-5x^2+x
d)f(x)=-2x^3+5x^2-3x
Provide complete and step by step solution for the question and show calculations and use formulas.