Polynomial Teacher Resources
Find Polynomial educational ideas and activities
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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 challenges the learner to gain a deeper understanding of zeros, graphs of polynomials, factors, and the algebra behind multiplying polynomials. This problem has a number of correct solutions, but that is what makes it challenging and still within the reach of a second-year algebra student.
Though it "sounds like a really fancy word," polynomials prove to be no match for Sal's mathematical skills. After defining the term and providing a few examples, Sal works through a few equations that add or subtract polynomials, showing how variable or constant terms that are raised to non-zero exponents can be simple.
Put your math pupils’ division skills - 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 can be applied to both simple and complicated problems.
This worksheet first reviews the definition of a polynomial and a like term. Then learners use the distributive property to rewrite expressions where polynomials are multiplied by monomials. Finally they are introduced to both the FOIL method and box model for multiplying binomials and trinomials.
This lesson is all about polynomial functions, graphs, and parabolas! It even comes with quite a few follow along worksheets. Get your class graphing polynomial functions with a degree higher than two, identifying the function represented by a graph, and finding the zeros and intercepts. A very thorough lesson.
Explore the concept of graphing polynomials with your class. Scholars graph polynomials and determine their end behavior. They use their calculator to determine the end behavior of linear, quadratic, and cubic equations.
This comprehensive lesson looks at higher-degree polynomials. The important topics covered include the Remainder Theorem, the Factor Theorem, and synthetic division. Included is a clearly written tutorial, problem sets, summary, and answer key.
Define, simplify, add, and subtract polynomials. Identify the degrees of a polynomial. Determine if a polynomial is a monomial, a binomial, or a trinomial. Then look at simplifying a polynomial by combining the coefficient values of like terms. This resource contains clear steps leading up to and including how to add and subtract polynomials. Note: Be careful with subtracting polynomials because the signs of the terms inside the parenthesis will change.
This algebra worksheet reviews writing polynomials in standard form from factored form, looks at the graphs of polynomials of degree higher than two, and identifies the zeros of polynomials using the Factor Theorem and Fundamental Theorem of Algebra.
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.
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.
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 terms to get the expression into two binomials. Don't forget to check the solution.
So you want to learn how to add polynomials? Here are the steps: rewrite by removing the parentheses, identify the like terms, group like terms together, combine the like terms, and finally rewrite the simplified expression.
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. The two page worksheet contains seventy-two problems. Answers are included.
It's not a complicated word problem, but the picture frame just gives the problem a little context. So you are trying to find the difference, which means subtraction. The instructor reviews how to distribute the negative sign to the second polynomial. Then it's just a matter of combining like terms.
This clip is great! Your budding algebra experts will have no trouble understanding what the degree in a polynomial means. The degree is compared to a mountain range, the highest peak in the range usually names the entire set of mountains. This is a well constructed and very helpful way to help struggling learners understand polynomials.
Learn how to factor the quadratic polynomial ax(squared)+bx+c, where (a) does not equal 1. This quick algebra lesson focuses on using the "bottoms up" method to factor this polynomial. The instructor uses an interactive whiteboard to show an example.
Explore finding zeros of polynomial functions in a number of ways including using synthetic division, depressed polynomials, factoring, the Factor Theorem. and the Rational Roots Theorem. This lesson also looks at complex conjugates as zeros of a polynomial function.
Help your pupils define a Taylor polynomial approximation to a function f of degree n about a point x = a. After completing several problems with guided practice, individuals graph convergence of Taylor polynomials and use them to approximate function values.
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a polynomial. Additionally, they will use a graphing utility to determine local extrema.