1.10.27 Polynomials

condition: Given a polynomial \( p(z)=a z^{4}+b z^{3}+c z^{2}+d z+e \). 1) Find all roots of the polynomial \( p(z) \). Write each root in algebraic form and indicate its algebraic multiplicity. 2) Expand the polynomial \( p(z) \) into irreducible factors: a) in the set \( \mathbb{C} \) of complex numbers; b) in the set \( \mathbb{R} \) of real numbers. \[ a=1, \quad b=-2, c=8, d=3, e=18 \text {. } \]