Polynomial Teacher Resources
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Khan Academy
Multiplying Binomials and Polynomials, Algebra Basics
Everyone can be shortcut-savvy with this video, which features Sal multiplying "a ton of polynomials" in clear, easily understandable terms. Those with difficulty applying old concepts to new equations will rest assured with the trusted...
Khan Academy
Polynomial Division, Polynomial and Rational Functions, Algebra II
Put your math pupils’ division and algebra skills to the test with this video, which introduces the concept of polynomial division. Sal's examples increase in complexity as the video progresses, allowing viewers to see how basic skills...
Curated OER
Polynomial Equations in Factored Form
Sal takes polynomial equations in the other direction with this video where he shows how to factor them instead of adding or multiplying them. He has two goals in this activity: first, to show how to factor polynomial equations, and then...
Khan Academy
Example 1: Simplifying Polynomials, Algebra I
At times, polynomial expressions can be very long. Watch this video to see how Sal simplifies them by combining like terms. He explains his process and uses various colors to demonstrate why like terms are alike and why they can be...
Khan Academy
Example 3: Multiplying a Monomial by a Polynomial, Algebra I
Can you multiply a monomial by a polynomial? Yes, you can, if you use the distributive property. Sal describes how to distribute the monomial term over the entire polynomial expression. He does an excellent job explaining this concept.
Khan Academy
Dividing Polynomials 1, Polynomial and Rational Functions, Algebra II
Divide two polynomial expressions by writing the problem as a fraction or as long division. Sal shows how to use long division to divide polynomials. A solid understanding of polynomial operations is necessary to grasp this video.
Khan Academy
Example 4: Adding and Subtracting Polynomials, Algebra Basics
Adding two polynomials begins with simplifying when possible. Sal demonstrates the process he uses to combine like terms and explains why the process works. This video would be great for those who need a quick refresher.
Khan Academy
The Parts of Polynomial Expressions, Polynomial and Rational Functions, Algebra II
Use this video to build mathematical vocabulary through practical application. Sal breaks down the parts of a polynomial expression, identifying the coefficient and exponents while he defines them.
Khan Academy
Example 2: Multiplying a Binomial by a Polynomial, Algebra I
Sal completes a practice problem to reinforce and apply the concepts learned in previous Khan videos on multiplying polynomials. This would be a significant practice problem to do with your students.
Curated OER
Factoring Polynomials
In this Algebra II/college level worksheet, students use the discriminate to determine if a polynomial has factors with integral coefficients and factor polynomials, including factoring by pulling out the GCF and factoring by grouping....
Khan Academy
Interesting Polynomial Coefficient Problem
This is an interesting problem that approaches higher-degree polynomials from a different perspective. Given a third-degree polynomial, two known zeros, and a y-intercept, find the value of the polynomialÕs coefficients. This problem...
Khan Academy
Example 6: Subtracting Polynomials with Two Variables, Algebra I
Sal beautifully explains how to subtract two polynomial expressions with multiple variables. He groups like terms and the distributive property to create a single expression.
Curated OER
What's a Prime Polynomial?
The instructor defines a prime polynomial as much the same as a prime number: they only have two factors, 1 and itself. She further demonstrates what a composite polynomial is to give an example of a polynomial that is not prime.
Curated OER
How Do You Subtract Polynomials Vertically?
Subtract polynomials? Huh? First off find the additive inverse of the number you are subtracting. Next rewrite the polynomials one on top of the other. Make sure to line up the like terms and then write in placeholders. Now add the terms...
EngageNY
Structure in Graphs of Polynomial Functions
Don't allow those polynomial functions to misbehave! Understand the end behavior of a polynomial function based on the degree and leading coefficient. Learners examine the patterns of even and odd degree polynomials and apply them to...
Houston Area Calculus Teachers
Polynomial Graphing
Your AP Calculus learners probably have their ID numbers memorized, but have they tried graphing them? Pique your pupils' interest by asking each to create a unique polynomial function based on their ID numbers, and then analyze the...
Curated OER
How Do You Simplify a Polynomial Over a Polynomial Using Opposite Binomial Factors?
The teacher explains the many steps in simplifying a rational expression using opposite binomial factors. At first it seems complicated but if you follow along and watch out for your negative numbers you can learn how to simplify this...
Curated OER
How Do You Solve a Word Problem by Subtracting and Multiplying Polynomials?
Apply the distributive property to multiply a monomial times a polynomial to get the area of a rectangle. Then use this information to solve a word problem.
Curated OER
How Do You Find the Degree of a Polynomial?
How do you determine the degree of a term? How do you determine the degree of a polynomial? Oh my! Observe the teacher as she shows you just how to figure out the degrees, first of terms, then of polynomials.
Curated OER
How Do You Add Polynomials Vertically?
The instructor demonstrates how to line up two polynomials vertically to add them together. She emphasizes lining up the terms with the same powers. She also identifies some places where there is no term and shows how to write a...
Curated OER
What's a Polynomial?
A polynomial is the sum of one or more monomials. They are identified by the number of terms they have. Monomials, binomials, trinomials, find out what these terms identify.
Curated OER
What's a Polynomial?
A polynomial is the sum of one or more monomials. They are identified by the number of terms they have. Monomials, binomials, trinomials, find out what these terms identify.
Virtual Nerd
How Do You Multiply a Rational Expression by a Polynomial?
Multiply a rational expression and a polynomial. No problem, you can do it. Turn your polynomial into a fraction and multiply. You might need to factor your polynomials first to see if you can cancel out some terms, thereby reducing it...
Curated OER
How Do You Factor a Polynomial by Grouping?
There are four terms in this polynomial. Try to factor it by grouping the terms. Confused? Try to get four terms into the product of two binomials? Still confused? Watch the instructor as she goes through the steps to group and regroup...
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