SOLUTION: A) Factor the Polynomial Completely P(x)= x^3 - 3x^2 + 4x B) Find all its zeros. State the multiplicity of each zero. (order your answers from smallest to largest real, follo

Question 1099268: A) Factor the Polynomial Completely
P(x)= x^3 - 3x^2 + 4x
B) Find all its zeros. State the multiplicity of each zero. (order your answers from smallest to largest real, followed by complex answers ordered smallest to largest real part, then smallest to largest imaginary part)
Found 2 solutions by Fombitz, Boreal:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

So,

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
x^3 - 3x^2 + 4x , factor out an x
x(x^2-3x+4)=0
x=0 is one root.
quadratic formula for other two
x=(1/2)(3+/- sqrt (9-16)), so roots are 0, (1/2)(3- i sqrt(7)) and (1/2) (3+ i sqrt(7)). Each is multiplicity 1

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