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Master Polynomial Subtraction: Easy Steps and Examples

Demonstrate understanding of powers with integral bases and whole number exponents

Using exponents to describe numbers

Expanded powers

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Exponent rules

Single Power Expressions

Dividing powers

Multiplying powers

Order of operations with exponents

Using exponents to solve problems

Demonstrate understanding of rational numbers by comparing and ordering rational numbers

Comparing and ordering rational numbers

Comparing decimal numbers

Comparing fractions

Solving problems with rational numbers in decimal form

Mixed Operations with Decimals

Mixed Operations

Mixed Operations with Decimals Bracket

Mixed Operations with Bracket Square

Solving problems with rational numbers in fraction form

Operations with fractions

Explain and apply the order of operations including exponents with and without technology

Order of operations (PEMDAS)

Identify the Order of Operations

Order of Operations — Word Problem

Determine the square root of positive rational numbers that are perfect squares

Determine square roots of rational numbers

Square roots of rational numbers

Squares and square roots

Square Root of a Perfect Square

Determine the approximate square root of positive rational numbers that are non-perfect squares

Estimating square roots

Generalize a pattern arising from a problem-solving context using linear equations

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

Graph linear relations analyze the graph and interpolate or extrapolate to solve problems

Understanding graphs of linear relationships

Linear relations

Understanding tables of values of linear relationships

Linear relation

Applications of linear relationships

Model and solve problems using linear equations of various forms

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

Solving linear equations with variables on both sides

Solving literal equations

Explain and illustrate strategies to solve single variable linear inequalities

Compound inequalities

Analyze the Alternate Form of Compound Inequalities: AND

Compound linear inequalities

Evaluate Compound Inequalities: And

Express linear inequalities graphically and algebraically

Graph the Inequality

Linear Inequalities – Word Problem 

Linear inequalities

Solving one-step linear inequalities

One-step Linear Inequalities

One-step linear inequalities

One-step Linear Inequalities Decimal

One-step Linear Inequalities Decimal with Fraction

One-step Linear Inequalities Fraction

Solve One Step Linear Inequalities Find Solution– Word Problem

One-step Linear Inequalities — Word Problem

Solving multi-step linear inequalities

Multi-step Linear Inequalities

Two-step Linear Inequalities

Multi-step linear inequalities

Two-step linear inequalities

Solve Multi-step Linear Inequalities – Word Problem 

Solve Multi Step Linear Inequalities Solve Equation – Word Problem

Solve Multi Step Linear Inequalities Equation – Word Problem

Demonstrate an understanding of polynomials

Characteristics of polynomials

What are polynomials

Equivalent expressions of polynomials

Adding and subtracting polynomials

Model record and explain the operations of multiplication and division of polynomial expressions

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

Model and solve problems using linear equations

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

Describe the effect of various factors on the collection of data

Influencing factors in data collection

Data collection

Select and defend the choice of using either a population or a sample of a population

Sampling methods

Sampling Methods

Census and bias

Census and Bias

Classifying Bias

Develop and implement a project plan for the collection display and analysis of data

Classification of data

Characteristics of Quantitative Data

Classify the Level of Measurement

Identify the Level of Measurement

Bivariate, scatter plots and correlation

Demonstrate an understanding of the role of probability in society

Probability

Solve problems and justify the solution strategy using circle properties

Angles in a circle

Chord properties

Tangent properties

Determine the surface area of composite 3-D objects to solve problems

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

Demonstrate an understanding of similarity of polygons

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Demonstrate an understanding of line and rotation symmetry

Line symmetry

Rotational symmetry and transformations

Assignments

Challenge Zone

Foundation Review

Grade 9 Math

Develop number sense

Use patterns to describe the world and solve problems

Represent algebraic expressions in multiple ways

Collect display and analyze data to solve problems

Use direct or indirect measurement to solve problems

math

Intro

Adding two polynomials by dropping brackets

Adding two binomials with n squared terms by collecting like terms

Adding polynomials with no like terms inside brackets

Removing brackets with positive signs and combining like terms

Writing the opposite of a polynomial expression

Writing the opposite of a polynomial by reversing signs

Subtracting polynomials by distributing the negative sign

<p>- Hi, welcome to this question right here. So, we're trying to subtract these polynomials right here. So, again, you have to check what's in the bracket first. There's nothing you can do across here. There's nothing you can do inside this bracket here as well. So, you have to go to the next step which is the exponents. There's no exponents, then you go to the next step. Now, the first one right here, there's nothing you can do with the outside anyway. Because there's a one right here, typically. But nothing happens. So, since there's nothing you can do about it, you're just gonna copy down the very first bracket down. Now, that means you have to drop the brackets because there's nothing that we're gonna to do, right? The next part is. . . This is a tricky question. It's a minus sign. So, you're subtracting it out of the bracket. I'm gonna just tell you the shortcut. The shortcut is, if you have a subtraction, of the bracket behind it, what you do is you reverse all the signs. Or flip your signs, meaning that find the opposite signs of that expression here. So, the 3x square right here that I'm looking at right now is positive. Guess what happens to it, it comes negative. That's a negative x right there, becomes positive. That's a negative eight, becomes positive eight, okay?<br />
So, that's it. And that's the end of your question. Actually, if you can collect the like terms, that will be great. Negative two, negative three, because these guys are like terms, right? So, when you get a negative two and a negative three, you just slide them together, you get yourself a negative 5x square, okay?<br />
Okay, here we go. Now, what's the next like that you see. I see an x and an x, okay? So, that's a negative six and that's a plus one, negative six plus one, put them together, you get yourself a negative 5x right here. The very last one is a three plus an eight, so, eight plus three, you get yourself an 11, okay? And this is your final answer for this question. Thanks for watching.</p>


Subtracting polynomials by flipping signs and combining like terms

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Overview

Mastering the Art of Subtracting Polynomials

What You'll Learn

Identify and combine like terms in polynomial expressions

Apply the distributive property to remove brackets from polynomial expressions

Recognize the opposite of an expression by reversing all signs

Calculate the degree of polynomial terms and expressions

Arrange polynomials in standard form by descending degree

What You'll Practice

Adding polynomials by dropping brackets and combining like terms

Subtracting polynomials by reversing signs and simplifying

Working with decimal coefficients in polynomial expressions

Determining degrees of single-variable and multivariable terms

Why This Matters

Before You Start — Make Sure You Can:

This Unit Includes

16 Video lessons

Practice exercises

Learning resources

Skills

Polynomials

Like Terms

Combining Terms

Distributive Property

Degree

Standard Form

Simplification