Find a polynomial function ƒ(x) of least degree with real coefficients having zeros as given. √3, -√3, 2, 3

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 these can be real or complex. The zeros are crucial for constructing the polynomial, as they directly influence its factors and overall shape.

Factoring a polynomial involves expressing it as a product of its linear factors based on its zeros. For example, if a polynomial has zeros at r1, r2, ..., rn, it can be expressed as f(x) = a(x - r1)(x - r2)...(x - rn), where a is a leading coefficient. This method is essential for constructing the polynomial function from its given zeros.