Long Division of Polynomials

Dividing polynomials is much like the familiar process of dividing numbers.

Example of Long Division of Polynomials .

Synthetic Division

Synthetic division is a quick method of dividing polynomials; it can be used when the divisor is of the form x - c. In synthetic division we write only the essential parts of the long division

Example of Synthetic Division

The Remainder and Factor Theorems

Example of Using the Remainder Theorem to Find the Value of a Polynomial

The next theorem says that zeros of polynomials correspond to factors.

Example of Factoring a Polynomial Using the Factor Theorem

Example of Finding a Polynomial with Specified Zeros,

Go back to   Polynomial Functions and Their Graphs    Go forward to Real Zeros of Polynomials

Practice