Find a polynomial function ƒ(x) of least degree having only real coefficients and zeros as given. Assume multiplicity 1 unless otherwise stated. See Examples 4–6.2-i, 3, and -1

A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. The general form of a polynomial in one variable x is given by f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer representing the degree of the polynomial.

The zeros (or roots) of a polynomial are the values of x for which the polynomial evaluates to zero. For a polynomial of degree n, there can be up to n zeros, and each zero corresponds to a factor of the polynomial. If a zero has a multiplicity greater than one, it indicates that the factor associated with that zero is repeated in the polynomial's factorization.

The Complex Conjugate Root Theorem states that if a polynomial has real coefficients and a complex number is a root, then its complex conjugate must also be a root. This is crucial when determining the polynomial's factors, as it ensures that all roots can be expressed in terms of real coefficients, which is necessary for constructing the polynomial function with the given zeros.