Search for tag: "binomials"

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  

Multiplication involving binomials and trinomials.

A demo of this topic where I stack the l ike terms in columns as a perform the distributions connecting each term of the first polynomial to each term in the other.

From  Tom Grant 17 plays 0  

Multiplying binomials with negative coefficients

A quick F.O.I.L. pattern to multiply two binomails. One of the variable terms is negative.

From  Tom Grant 19 plays 0  

Special products of radical expressions: Conjugates and squaring

A demonstration of squaring a binomial with radical terms and then a second example showing how conjugate binomials can be multiplied.

From  Tom Grant 12 plays 0  

Finding the LCD of rational expressions with quadratic denominators

Factoring quadratics to find the LCD of two fractions in algebra

From  Tom Grant 30 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  

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 10 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 27 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 11 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 16 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 14 plays 0  

Multiplying conjugate binomials: Univariate

Demonstrates what happens when the F.O.I.L. method is applied to multiply two binomails of the form (a + b) (a - b). It's special circumstance that allows a short cut.

From  Tom Grant 32 plays 0