SOLUTION: A) Factor the Polynomial Completely P(x)= 81x^4 -625 B) Find all its zeros. State the multiplicity of each zero. (order your answers from smallest to largest real, followed b

Question 1099266: A) Factor the Polynomial Completely
P(x)= 81x^4 -625
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)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
81x^4-625
this is a difference of squares
(9x^2+25)(9x^2-25)=0
The second is a difference of squares
(9x^2+25)(3x+5)(3x-5)=0
the real roots are -5/3, +5/3
the complex roots are x^2=-25/9 so x=+/- i (5/3), so -i (5/3),+ i (5/3)

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