Zeros of Polynomial Functions

x = -2, x = -6, x = 4

x = 3, x = √5, x = -√5

7

1

(x-3)(x-4)(x-5) = 0

A polynomial function is a function that can be expressed in the form P(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.

The Fundamental Theorem of Algebra states that every non-constant polynomial function has at least one complex root.

A real zero of a polynomial function is a value of x for which P(x) = 0.

You can use the Descartes' Rule of Signs or analyze the graph of the polynomial function.

Synthetic division is a simplified form of polynomial long division used to divide a polynomial by a linear factor.