Lesson: Polynomial Long Division with Remainder Mathematics • 10th Grade

In this lesson, we will learn how to find the quotient and remainder when polynomials are divided by linear polynomials using long division.

Lesson Plan

Students will be able to

divide a polynomial by a linear polynomial using long division where
- the remainder is zero,
- the remainder is nonzero and find the remainder in this case,
use the result after a long division of a polynomial with no remainder to
- write the polynomial in the form ,
- fully factor the polynomial if one of the factors is quadratic,
- find the solutions to .

Q1:

Use polynomial division to simplify .

Q2:

Write in the form where the degree of is less than that of .

Q3:

Find the remainder , and the quotient when is divided by .