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Master Dividing Polynomials by Monomials: Step-by-Step Guide

PAT: Master Provincial Achievement Test Skills

Operations with Decimals

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Adding and subtracting decimals

Subtracting Decimals — Data Table

Ordering Decimals — Data Table

Decimals – Word Problem

Adding Decimals

Subtracting Decimals

Multiplying decimals

Multiplying Decimals

Dividing decimals 

Dividing Decimals

Order of operations (BEDMAS)

Mixed Operations with Decimals

Mixed Operations

Identify the Order of Operations

Order of Operations — Word Problem

Mixed Operations with Decimals Bracket

Mixed Operations with Bracket Square

Square Roots

Squares and square roots

Square Root of a Perfect Square

Estimating square roots

Rational Numbers

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Comparing and ordering rational numbers

Comparing decimal numbers

Comparing fractions

Solving problems with rational numbers in decimal form

Solving problems with rational numbers in fraction form

Operations with fractions

Determine square roots of rational numbers

Square roots of rational numbers

Powers and Exponents

Using exponents to describe numbers

Expanded powers

Exponent rules

Single Power Expressions

Dividing powers

Multiplying powers

Order of operations with exponents

Using exponents to solve problems

Introduction to Linear Relations

Understanding graphs of linear relationships

Linear relations

Understanding tables of values of linear relationships

Linear relation

Applications of linear relationships

Linear Relations

Representing patterns in linear relations

Represent Patterns in Linear Relations Equation Decimal

Represent Patterns in Linear Relations Equation Integer Start From 0

Represent Patterns in Linear Relations Equation Integer Start From 1

Represent Patterns in Linear Relations Equation Negative Decimal

Identify the Linear Equation

Reading linear relation graphs

Solving linear equations by graphing

Solving Linear Equations

Solving linear equations using multiplication and division

Two-step Linear Equations LHS

Two-step Linear Equations RHS

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving linear equations using distributive property: a(x + b) = c

Solving linear equations using distributive property: a(x + b) = c

Solving linear equations with variables on both sides

Model and solve one-step linear equations: ax = b, x/a = b

One-step Linear Equations

One Step Linear Equations — Word Problem

One-step equations

One-step Equations LHS

One-step Equations RHS

Model And Solve One Step Linear Equations Divide – Word Problem

Model And Solve One Step Linear Equations Multiply – Word Problem

Solving two-step linear equations using addition and subtraction: ax + b = c

Two-step Linear Equations

Solve Linear Equations Using Addition and Subtraction – Word Problem

Two-step Linear Equations — Word Problem

Solving two-step linear equations using multiplication and division: x/a + b = c

Solving two-step linear equations using distributive property: a(x + b) = c

Solve Linear Equations Using Distributive Property – Word Problem

Introduction to Polynomials

Characteristics of polynomials

What are polynomials

Equivalent expressions of polynomials

What is a polynomial?

Classifying Polynomials

Polynomial components

Operations with Polynomials

Adding and subtracting polynomials

Multiplying and dividing monomials 

Divide a monomial by a monomial

Multiply a monomial by a monomial

Multiplying polynomials by monomials

Multiply a polynomial by a monomial

Dividing polynomials by monomials

Circle Geometry

Angles in a circle

Chord properties 

Tangent properties

Surface Area of 3D Objects

Surface area of 3-dimensional shapes

Introduction to surface area of 3-dimensional shapes

Nets of 3-dimensional shapes

Surface area of prisms

Surface Area of Prisms Rectangle

Calculate the Surface Area

Surface area of cylinders

Scale Factors and Similarity

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Symmtery

Line symmetry

Rotational symmetry and transformations

Influencing factors in data collection

Data collection

Probability

Provincial Achievement Test

sample

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Intro

Dividing 6x² minus 24x by 3x using algebra and area model

Dividing a binomial with negatives by negative x using algebra and models

- Hi and welcome to this question right here. So we've got a 4x squared plus 12xy divided by 2x. Now if you're trying to divide a bunch of variables and there's two terms on top divided by something. It's probably better if you just separate them, okay? I didn't change the question. I just simply just give the 2x back to their own position. So basically we have 4x squared for the front divided by 2x and we also have the 12xy divided by 2x, okay? 
You can actually do that. What happened is it looks easier now because you can actually just do the calculations individually. We have four over two gives me two. X squared over x gives you 1x . 
Now remember what happened is during the work we are actually subtracting the exponents, okay? So two minus one is left with just 1x. Then we go back to the question for the next part. We get a plus sign right there. So just put a plus sign. What's 12 over two? We get a 6. This is one right here. This is x power one and that's x power one. If you do the subtraction because they're the same variable, one minus one will give you how much? That's a zero, right? Anything to the power of zero is simply just a one. So you just leave nothing. Then you give yourself a y at the very end. So down one, has nothing to do, so you just have to bring it down, okay? So there you go. That's your final answer right here. 2x plus 6y is your final answer. Thanks for watching.

Dividing a binomial with xy terms by a monomial 2x

Dividing a polynomial with decimal coefficients by 7x

Dividing a binomial with decimals by a monomial 6x

Dividing a polynomial with decimals by 0.3

Setting up a polynomial division expression for the width of a box

Substituting x=3 to find the width and volume of a rectangle

Intro to dividing polynomials by monomials using distribution

This section will teach us how to divide a polynomial (more than one term) by a monomial (one term only). We will use a model to help us on the division. We will then try to solve the questions without using the model. At the end, we will look at some of the related word problems.

Learn to divide polynomials by monomials

Understanding integer division

Dividing Polynomials by Monomials: Essential Algebra Skills

What You'll Learn

Distribute division across each term when dividing polynomials by monomials

Apply exponent laws to subtract powers when dividing variables with the same base

Simplify polynomial expressions by dividing coefficients and variables separately

Recognize that division must be applied to every term in the polynomial

What You'll Practice

Dividing binomials and trinomials by monomials with numerical and variable terms

Working with expressions involving decimals and fractions in division

Solving word problems involving polynomial division with volume and dimensions

Using area models to visualize polynomial division

Why This Matters

Before You Start — Make Sure You Can:

This Unit Includes

9 Video lessons

Learning resources

Skills

Polynomials

Monomials

Division

Distributive Property

Exponent Laws

Simplification

Algebra