Lecture 8 Dividing Polynomials In this lecture we discuss some terminology concerning polynomials, a. d we learn how to divide them. We will also learn a technique called synthetic …

In the following examples, we divide the polynomial p(x) by the polynomial d(x), obtaining an answer in the form p(x) r(x) = q(x) + : d(x) d(x) where r(x) has (strictly) smaller degree than …

Dividing Polynomials Key Points: Polynomial long division can be used to divide a polynomial ( ) polynomial ( ) with equal or lower degree. The Division Algorithm is defined as follows:

To divide a polynomial by a polynomial, follow the six steps outlined below. Step 1: Rewrite as a long division problem. Make sure that both polynomials are written in descending order, filling …

Use synthetic division to divide polynomials. The polynomials P(x) and D(x) are called the dividend and divisor, respectively, Q(x) is the quotient, and R(x) is the remainder. Divide 5x2 + …

Solution: First, we set up the division problem. Both the dividend and divisor should be written in decreasing powers of x (or whatever the variable for the question is).

Summary: This guide provides a thorough explanation of how to do division of polynomials, covering both long division and synthetic division methods. It details the steps involved, …