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Adding and Subtracting Polynomials
Realize that adding and subtracting polynomials is nothing really new. An informative video shows how to clear the parentheses when adding and subtracting polynomials to then solve by combining like terms. Learners watch three different...
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Applications from Geometry Using Polynomials
Bridge the gap between algebra and geometry. Scholars apply geometric knowledge to write polynomial expressions for the area of a figure. They watch as the narrator works through two examples to make the concept clear.
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Find a Polynomial Expression for Area of Rectangles - Pool Application (Example)
Next time you're at a pool, consider how to calculate its area. Given the dimensions of a rectangular pool and the dimensions of a deck surrounding the pool as algebraic expressions, young mathematicians see how to calculate the areas....
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Find a Polynomial Expression for a U-Shaped Area (Example)
How difficult is it to calculate the area of a U-shaped figure? Scholars use a helpful video to see how to determine an algebraic expression for the area of an U-shaped composite figure. The method it shows involves decomposing the...
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Determine the Area of a Shaded Region Using a Polynomial (Example)
Looking at area with a hole. Using algebraic expressions as dimensions, learners see how to calculate the area of a rectangle that contains a square hole. The instructional video shows how to create a single expression for the area of...
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Express an Area as an Expression by Decomposing Area (Example)
Cut the area into two. Pupils see how to use algebraic expressions to find the area of a composite figure. The video breaks the figure into two rectangles and finds the missing lengths to find the area. After multiplying the dimensions,...
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Find the Dimensions of a Bookcase Using a Linear Equation (Example)
How much wood would ...? The quick video uses a linear equation to determine the size of a bookshelf given a diagram of the shelves and the amount of wood to use. Scholars see how to set up the equation and solve it to determine the...
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Find the Area of a Rectangle Using a Polynomial (Example)
Apply polynomial multiplication to area. The short video in a large series shows the process of creating a polynomial formula for the area of a rectangle. Using the two expressions for the length and width of a rectangle, pupils see how...
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Divide a Polynomial by a Binomial Using Long Division (Example 2)
Go ahead and divide as if nothing is missing. The video shows the long division process using a cubic polynomial with no missing terms being divided by a linear binomial. Pupils see how to write the remainder within the quotient.
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Divide a Trinomial by a Binomial Using Long Division (Example 1)
Three terms divided by two terms does not equal 1 1/2 terms. Pupils watch the procedure of polynomial division using quadratic trinomials and linear binomials. The video works through two examples, one with a remainder and one without,...
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Divide a Degree 3 Polynomial by a Degree 1 Polynomial (Long Division with Missing Term)
How do you work the problem when something is missing? The resource works a polynomial division problem when there is a missing term, so pupils see the need to include zero terms to keep everything in line. The presenter also shows two...
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Polynomial Division: Long Division
Make the arithmetic connection. A helpful resource shows the steps of polynomial long division and shows how those steps are similar to arithmetic long division. Pupils watch several examples outlining the steps to divide polynomials...
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Dividing Polynomials by a Monomial (Basic) - Example
Progress through levels of dividing a polynomial by a monomial. Four examples show scholars the procedure to divide a polynomial by a monomial. The first example uses a binomial divided by a monomial, and each of the others progress...
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Polynomial Long Division: Degree 3 Divided by ax+b with Remainder
Dividing a degree three polynomial by a linear divisor is a several step process. Pupils see how to use long division to divide a polynomial by a linear divisor. The video then works through the steps of finding the terms of the quotient...
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Polynomial Division: Dividing by a Monomial
Split the division up into segments. A helpful video works three different division problems involving polynomials and monomials. Pupils see how to divide each term separately by the monomial and then combine the individual quotients in...
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Quadratic Equation Application - Evaluate and Factor (Example)
Attain new heights in understanding quadratics. An educational video explores how to evaluate quadratic equations to solve problems in context. It also looks at how to factor quadratics. The equation gives the height of debris over time...
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Evaluate a Polynomial Equation - Flu Virus Application
Catch the resource before it's too late. An educational video shows how to evaluate a quartic equation and how to interpret the answer. The context involves the number of flu virus particles in a person's body over time after catching...
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Evaluate a Quadratic Equation - Death Application
Don't be bored to death when learning about quadratics. Using a given quadratic equation representing the number of deaths per year per thousand people in terms of age, scholars determine the number of deaths for a particular age group....
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Evaluate a Quadratic Expression with a Negative Value (Example)
Don't feel negative about quadratic expressions. An instructional video shows viewers how to evaluate a quadratic expression when the variable has a negative value. It presents two examples for the topic and works through these examples...
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Evaluate Algebraic Expressions - Advanced (Example 3)
Advance scholars' understanding of evaluating expressions. An advanced level video shows how to determine the value of algebraic expressions for given values of variables. The expressions involve multiple exponents or multiple operations.
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Evaluate Basic Algebraic Expressions (Example 2)
Algebraic expressions have value; mathematicians just have to calculate it. An educational video describes how to evaluate algebraic expressions with a focus on linear and quadratic expressions with one or two variables. Pupils work...
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Evaluate Basic Algebraic Expressions (Example 1)
Evaluating expressions is pretty basic. Scholars watch an informative video that shows how to evaluate basic algebraic expressions. It provides examples that illustrate how to square and cube negative values as well as apply the order of...
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Evaluate Various Algebraic Expressions
Learn the value of evaluating expressions. An educational video shows viewers how to evaluate algebraic expressions for given values of a variable. The video includes a set of five worked examples for the concept.
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Evaluate a Polynomial in One Variable
One variable is sometimes enough. Viewers of an instructional video learn how to evaluate a polynomial expression in one variable. They watch as the narrator works through two such examples, one with a polynomial of degree four and the...