Polynomial Functions of Higher Degrees

If a is a zero of a polynomial and the exponent on the term that produced the root is k then we say that a has multiplicity k.

Zeroes with a multiplicity of 1 are called simple zeroes.

A factor (x - a)k , k > a yields a repeated x = a  zero of multiplicity k.

Real Zeros of a Polynomial Functions If is a polynomial function and a is a real number, the following statements are equivalent.

x = a is a zero of the function .

x = a  is a solution of the polynomial equation f (x) = 0 (x - a) is a factor of the polynomial f (x)

Find out more about polynomial functions of higher degrees below.

Polynomial Functions of Higher Degrees


Practice: Answer the following exercises about polynomial functions of higher degrees.

Polynomial Functions of Higher Degrees 1

Polynomial Functions of Higher Degrees 2

Polynomial Functions of Higher Degrees 3