Search for tag: "math"

Find the LCD of rational expressions with quadratic denominators

Factoring quadratics to find the LCD of two fractions in algebra

From  Tom Grant 6 plays 0  

Finding the LCD of rational expressions with linear denominators: Common factors

This shows how to find the least common denominator of two fractions, nothing more.

From  Tom Grant 5 plays 0  

Least common multiple of two monomials

Shows how to create the simplest expression both of the given ones divide into.

From  Tom Grant 4 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 5 plays 0  

Simplifying a ratio of polynomials: Problem type 1

This shows how to factor the numerator and denominator of a fraction in algebra so that we can reduce the same factors ono the top and the bottom because they divide to one.

From  Tom Grant 3 plays 0  

Simplifying a ratio of factored polynomials: Linear factors

This shows the last step in simplifying a rational expression, i.e. dividing out factors that reduce to one.

From  Tom Grant 1 plays 0  

Domain of a rational function: Excluded values

Shows how to find out what values are not defined for a rational function. This ability will be needed when solving rational equations because you may come up with a value that is not valid when…

From  Tom Grant 6 plays 0  

Word problem involving the Pythagorean Theorem

Application of the equation relating the three sides of a right triangle:: a^2 + b^2 = c^2 where a and b are the shorter sides that make the rigiht angle and c is the lenght of the longest side.

From  Tom Grant 14 plays 0  

Pythagorean Theorem

A quick run through the use of a^2 + b^2 = c^2 to find an unknown side of a right tirangle if we know the other two sides.

From  Tom Grant 9 plays 0  

Factoring a product of a quadratic trinomial and a monomial

A two step process is shown here. First, as always, look for a greatest common factor (GCF) and remove it from all terms. Then second, the resulting quadratic expresssion can then be factored into…

From  Tom Grant 10 plays 0  

Finding the roots of a quadratic equation needing simplification

This demonstrates how some quadratic equations need to be simplified and put in standard form before the quadratic expression can be factored so the factors can be set to zero and solved.

From  Tom Grant 9 plays 0  

Finding the roots of a quadratic equation with leading coefficient greater than 1

This is a quadractic equation that can be factored to solve it. The zero product property allows writing the factors each equal to 0 and then solving those linear equatioins.

From  Tom Grant 7 plays 0  

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

From  Tom Grant 12 plays 0  

Finding the roots of a quadratic equation of the form ax^2 + bx = 0

This type of equation is solved by factoring a GCF from both terms once the proper form is achieved. Then the zero product property allows the separation of the two factors into two solvable linear…

From  Tom Grant 11 plays 0  

Factoring a polynomial involving s GCF and a difference of squares: Univariate

A two-step process involving first removing the greatest common factor from both terms, then factoring the resulting difference of squares.

From  Tom Grant 9 plays 0  

Factoring a perfect square trinomial with leading coefficient 1

One of the simpler factoring techniques if you know what you are looking for.

From  Tom Grant 10 plays 0