Polynomial Long Division Chapter 6 Section 6.6

Objective Students will divide polynomials using long division

Concept Long Division 23 949

Concept Polynomial Long Division 4x + 1 8x2 + 6x + 3

Concept We just got done discussing dividing fractions. In this section you are going to divide polynomials. Every time you divide a polynomial it does not always come out even. Because there is a possibility of a remainder, it is necessary to use long division to solve these problems.

Concept Dividend = Quotient + Remainder Divisor Divisor To check your answer Dividend = Quotient * Divisor + Remainder When you divide polynomials always arrange the terms in order of decreasing degree of the variable

Example 34x – 16 + 15x2 5x - 2

Example 4x3 – 2x2 + 6x – 5 2x + 1

Concept When putting polynomials in order of decreasing degree there is a chance you could have holes in the exponents. If this happens, you may want to replace those hole with 0’s to make sure that terms are aligned when you subtract.

Example 2a3 + 5 a - 3

Example y3 + 4 y – 1

Questions

Assignment Worksheet