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2 solve each equation by finding all roots x^4-16=0, 2x^3-3x^2+8x-12=0...more on the bottom

for my math class please i have an f in there please im in sports and i cannot get kicked out. write the simplest polynomial function with the given zeros 2-i,sqrt of 3 and 2. solve each equation by finding all roots x^4-3x^3+5x^2-27-36=0

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These are all fairly lengthy, so I'll do a couple. x^4-16=0.
(X^2-4)(x^2+4)=0.
x^2=4. x^2=-4.
x=+-2. x=+-2 i. 2x^3-3x^2+8x-12=0.
2x^2(x-3/2)+8(x-3/2)=0.
(X-3/2)((2x^2+8)=0.
X=3/2. x^2=-4.
x=+-2i.

Roots:(2-i)(2+i)(sqrt3)(2). (Imaginary roots come in conjugate pairs).
y=(X-(2-i))(x-(2+i))(x-sqrt3)(x-2). I'm not going to mult that all out!

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this is junior high math i believe. can't quite figure out the logic for it atm.
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seems to be a graph. In mathematics, a polynomial is an expression of finite length constructed from variables (also called indeterminates) and constants, using only the operations of addition, subtraction, multiplication, and non-negative integer exponents.
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