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Solving a quadratic equation by completing the… duration 8 minutes 9 seconds Solving a quadratic equation by completing the… Solving a quadratic equation by completing the square: Exact Answers	Solving a quadratic equation by completing the square: Exact Answers Two examples are shown here, one relatively easy, then one with some fractions involved. math math emporium factor perfect square trinomial square square root root halves minus sides answers blank pattern side fourths x. equals front graticlesn left symbol fourth underneath half factors From Tom Grant 4 plays 0
Graphing a parabola ofthe form y = ax^2 or y =… duration 5 minutes 50 seconds Graphing a parabola ofthe form y = ax^2 or y =… Graphing a parabola ofthe form y = ax^2 or y = ax^2 + c	Graphing a parabola ofthe form y = ax^2 or y = ax^2 + c Shows how to shoose appropriatate input values to find five points, then plot them and draw the graph. math math emporium parabola vertex graph 12x half values axis result point points symmetry direction times clue front equations parabolas lesson reason parable side From Tom Grant 6 plays 0
Simplifying a sum or difference of radical… duration 2 minutes 24 seconds Simplifying a sum or difference of radical… Simplifying a sum or difference of radical expressions: Univariate	Simplifying a sum or difference of radical expressions: Univariate This includesradicals that contain variable factors, but continues the simplification of various terms in a sum or difference so that possible like terms can be added orsubtracted. math math emporium like terms perfect square root times front square answer z. coefficients power squares variables radicals difference summer From Tom Grant 7 plays 0
Adding rational expressions with linear… duration 2 minutes 15 seconds Adding rational expressions with linear… Adding rational expressions with linear denominators without common factors: Basic	Adding rational expressions with linear denominators without common factors: Basic A subtraction of fractionso where the denominators have no factors in common so we simpllly multiply the two together to create the LCD. Then both fractions are adjusted by multiplying each… math math empoirum lcd rational expressions fraction factors times bottom fun answer factor minus step numerators tops front form numbers denominator denominators fractions From Tom Grant 8 plays 0
Adding rational expressions with common… duration 2 minutes 13 seconds Adding rational expressions with common… Adding rational expressions with common denominators and binomial numerators	Adding rational expressions with common denominators and binomial numerators This demonstrates adding two rational expressions that have different terms individually in the numerator and a common denominator. When the fractions are added, it creates the possibility of adding… math math emporium common denominator like terms numerator x. fraction answer xs bar bottom subtraction multiplication situation front tops denominators denominator fractions From Tom Grant 8 plays 0
Rewriting an algebraic expression without a… duration 1 minute 20 seconds Rewriting an algebraic expression without a… Rewriting an algebraic expression without a negative exponent	Rewriting an algebraic expression without a negative exponent Two examples of expressions with negative exponents that are changed to expressions with positive exponents, leaving the numerical factor as is. math math emporium negative exponent factor reciprocal base exponent power answers front bottom side denominator end numerator stays thing parentheses multiplication exponents expression words definition From Tom Grant 9 plays 0
Square root of a perfect square duration 44 seconds Square root of a perfect square Square root of a perfect square	Square root of a perfect square Shows how square rooting is the opposite of squariing math math emporium square root squaring root opposites front principal times square division multiplication subtraction addition opposite From Tom Grant 7 plays 0
Simplifying a product involving square roots… duration 3 minutes 8 seconds Simplifying a product involving square roots… Simplifying a product involving square roots using the distributive property: Basic	Simplifying a product involving square roots using the distributive property: Basic Demonstrates distribution when radicals are invovled. math math emporium prime factorizationi distribution times root pair answer threes front route radicals shoes bit symbol opposite undone twos factors pairing roots square property From Tom Grant 9 plays 0
Introduction to simplifying a product involving… duration 1 minute 27 seconds Introduction to simplifying a product involving… Introduction to simplifying a product involving square roots using the distributive property	Introduction to simplifying a product involving square roots using the distributive property A quick look at distributin a radical across a sum of a whole number and a different radical math math emporium radical multiplication distribution root radicals decimal etcetera times numbers answer approximation calculator front expression From Tom Grant 17 plays 0
Introduction to simplifying a product of higher… duration 1 minute 34 seconds Introduction to simplifying a product of higher… Introduction to simplifying a product of higher roots	Introduction to simplifying a product of higher roots A qucikc look at a simple fourth root of a combined pair of them, numbers only. math math emporium radical higher roots multiplication prime factorization times root factor power answer threes front b27 cubed factorization tree side numbers radicals From Tom Grant 7 plays 0
Simplifying a product of radical expressions:… duration 2 minutes 15 seconds Simplifying a product of radical expressions:… Simplifying a product of radical expressions: Univariate	Simplifying a product of radical expressions: Univariate Multiplying two radical expressions by showing the factorization of the numbers and using even exponents to remove variable factors. math math emporium radical multiplication prime factorization times root numbers cubed power variable front thing evidence half sixth opposite pair side hand factors alright dialect roots negatives From Tom Grant 10 plays 0
Square root multiplication: Advanced duration 1 minute 26 seconds Square root multiplication: Advanced Square root multiplication: Advanced	Square root multiplication: Advanced An example that is a little more complicated about how to simplify radicals that are being multiplied math math emporium radical multiplication times root square answer front numbers places squares couple leaves thing kind factors duplicate From Tom Grant 9 plays 0
Introduction to simplifying a sum or difference… duration 1 minute 51 seconds Introduction to simplifying a sum or difference… Introduction to simplifying a sum or difference of radical expressions: Univariate	Introduction to simplifying a sum or difference of radical expressions: Univariate Two examples of reducing radicals to then be able add or subtract like radicals math math emporium radical like radicals root times square x. roots minus half front coefficients radicals numbers focus alright From Tom Grant 6 plays 0
Solving a rational equation that simplifies to… duration 7 minutes 16 seconds Solving a rational equation that simplifies to… Solving a rational equation that simplifies to quadratic: Binomial denominators, constant numerators	Solving a rational equation that simplifies to quadratic: Binomial denominators, constant numerators Here we solve a rational equation by multiplying each of the terms in the equation by the LCD of all of the fractions. This allows us to divide to one all of the factors in the denominators and the… math math emporium lcd rational equations quadratic equation times factor sides thirds equation halves x. term side equals numbers things front parentheses factors calculator answers equations method From Tom Grant 10 plays 0
Solving a rational equation that simplifies to… duration 1 minute 43 seconds Solving a rational equation that simplifies to… Solving a rational equation that simplifies to linear: Denominator x + a	Solving a rational equation that simplifies to linear: Denominator x + a Shows cross multipication of two single fractions set equat to each other to create a new equation that has no fractions and is then solvable by the typical methods. math math emporium cross multiplication linear equation rational equation fraction sides fractions side times variable answer fifths result equals switch left additions signs front form denominator linear equation From Tom Grant 15 plays 0
Finding the roots of a quadratic equation with… duration 2 minutes 23 seconds Finding the roots of a quadratic equation with… Finding the roots of a quadratic equation with leading coefficiant 1	Finding the roots of a quadratic equation with leading coefficiant 1 This applies the factoring methods learned previously to solving a quadratic equation in standard form, that is with all th eterms on the left of the equals sign and 0 on the right math math emporium quadratic equation factroing zero product property equals times comma sides answer aleks answers property notice side multiplies binomial front binomials expression coefficient factoring equation roots From Tom Grant 16 plays 0