# Division of Polynomials by Monomials Worksheets

How to Divide a Polynomial by a Monomial - The division in polynomials and monomials is conducted in the same manner as they are done in numerals. If we need to divide a polynomial by a monomial, the method is simple, consider the monomial as the divisor and the polynomial as the dividend. In the numerals, when we divide the dividend by the divisor, we multiply the divisor by a number and write the answer under the dividend’s initial digits and subtract. The number that we multiply the divisor with is called a quotient. The division between a polynomial and a monomial is done in the same manner. We first multiply the monomial with a suitable quotient, that will give us an answer that can be subtracted by the first term of the given polynomial. After the subtraction, we write the answer below. Then we multiply the divisor by another quotient and repeat the same process until every term in the polynomial is divided, and we are left with zero remainders.

• ### Basic Lesson

Demonstrates the steps of dividing a polynomial by a monomial. 1. Divide each term. A) Divide the real numbers. B) Subtract the exponents. 2. If a sign is present, write the sign between the terms. 3. A number divided by itself is 1.

• ### Intermediate Lesson

Explores how to divide complex polynomials by a monomial. Divide each term of the numerator separately. Remember to write the signs that were present.

• ### Independent Practice 1

Contains 20 exercises that asks you to divide the polynomials by monomials. The answers can be found below.

• ### Independent Practice 2

Features another 20 Division of Polynomials by Monomials problems.

• ### Homework Worksheet

Division of Polynomials by Monomials problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

10 Division of Polynomials by Monomials problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Classic Expression Based Problem

Mr. Jones is 28 years older than his son. In 11 years, he will be 3 times as old as his son. How old is each person now? Answer: 3(x + 11) = x + 28 + 11
Mr. Jones: 31; son: 3