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Master Polynomial Subtraction: Easy Steps and Examples

BC Grade 9 Math: Master Essential Skills & Concepts

Rational Numbers

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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

Determine square roots of rational numbers

Square roots of rational numbers

Power 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

Scale Factors and Similarity

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Polynomials

Characteristics of polynomials

What are polynomials

Equivalent expressions of polynomials

Adding and subtracting polynomials

Multiplication and Division of Polynomials

Multiplying and dividing polynomials

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

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 multiplicattion and division

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

Solving literal equations

Data Collection

Influencing factors in Data Collection

Influencing factors in data collection

Probability

BC Grade 9 Math

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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

Subtracting polynomials by reversing signs and collecting like terms

Adding and subtracting three polynomial expressions

Adding three polynomial expressions with all positive signs

Subtracting polynomials with decimals and factoring the result

Combining like terms across three positive bracket groups

Understanding degree of polynomial terms and expressions

Adding polynomials is basically combining the like terms together. Like terms are the terms with the same variables and <a href='[[glossary.html|{"keyword":"Degree of a Polynomial","term":"Degree of a Polynomial"}]]'>degree</a>. Subtracting polynomials is very similar to that, but you will need to reverse the sign of each term to get rid of the like terms. 

Adding and subtracting algebraic expressions

Understanding integer division

Order of operations (PEMDAS)