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Adding rational expressions involving different quadratic denominators

Adding ratioinal expressions with quadratic denominators requires factoring each denominator so that the LCD can be determined. Then each fraction is exapanded by multiplying the tops and the…

From  Tom Grant 6 plays 0  

Finding the LCD of rational expressions with quadratic denominators

Each denominator is factored and then any common factor is used only once and all other unique factors complete the LCD

From  Tom Grant 5 plays 0  

Solving an equation written in factored form

Starts with cautiioning against multiplying the factors back together and describes the zero product property to justify this warning. Then shows how to continue from the factored form to separate…

From  Tom Grant 15 plays 0  

Quotient rule with negative exponents: Problem type 2

A multi-variable fraction that is reduced by applying the quotient rule and the definition of a negative exponent.

From  Tom Grant 4 plays 0  

Identifying parallel and perpendicular lines from equations

This shows how to transform all given equation that are not in slope-intercept form and then pick out the slopes of all three given lines and compare them to see if they are parallel, perpendicular…

From  Tom Grant 12 plays 0  

Simplifying a procuct of radical expressions: Multivariate

Multiplication of two radicals by pairing all numbers after prime factorization and taking half of all even exponents with variables as a base.

From  Tom Grant 8 plays 0  

Complex fractions without variables: Problem Type 1

Demonstrates simplifying fractionis within fractions.

From  Tom Grant 29 plays 0  

Simplifying a ratio of polynomials: Problem type 2

A second look at factoring the top and bottom of a fraction in algebra that then reduces that fraction.

From  Tom Grant 15 plays 0  

Synthetic division

This demonstrates why symthetic division works when dividing by a simple binomial as in x + a or x - a. Then it shows how to fill in the answers for this type of question.

From  Tom Grant 16 plays 0