Answer
(a) The Fundamental Theorem of Algebra states that
every polynomial with complex coefficients has at least one complex zero.
(b)The Complete Factorization Theorem states that a polynomial of degree $n\geq1$ can be factorized into n linear terms with complex or real numbers as zeros.
(c) The Zeros Theorem states that Every polynomial of degree $n\geq1$ has exactly n zeros, provided that a zero of multiplicity k is counted k times.
(d) The Conjugate Zeros Theorem states that If the polynomial P has real coefficients and if the complex number z is a zero of P, then its complex conjugate $\bar z$ is also a zero of P.
Work Step by Step
see above.