Search for tag: "factoring"

Dividing rational expressions involving linear expressions

A brief informal reasoning of why any division can be changed to a multiplication by reciprocating the second number or fraction, i. e. the number going into the other number. Then an example of…

From  Tom Grant 6 plays 0  

Simplifying a ratio of linear polynomials: 1, -1, and no simplification

This shows four examples just to cover a variety of "looks". There is at least one of each tyoe,

From  Tom Grant 11 plays 0  

Factoring out a monomial from a polynomial: Univariate

An example where the terms are expanded into their separate factors so that the common factor can be identified and extracted and the remaining factors are left to stay inside parentheses.

From  Tom Grant 30 plays 0  

Introduction to solving an equation with variables on the same side

A short and simple demo about adding like variable terns that are together on one side of the equals sign in an equation.

From  Tom Grant 6 plays 0  

Finding the x-intercepts, the y-intercept, and the vertex of a parabola

This demonstrates how to find these values for a quadratic equation of the form y = ax^2 + bx + c.

From  Tom Grant 20 plays 0  

Solving a radical equation that simplifies to a quadratic equation: One radical, basic

This radical equation when sqaured to eliminate the sqaure root creates a quadratic equation that can then be solved by factoring.

From  Tom Grant 6 plays 0  

Simplifying a quotient involving a sum or difference with a square root

This demonstrates creating a multiplication in the numerator of a rational expression that will allow the expression to be reduced by dividing like factors to simply one

From  Tom Grant 11 plays 0  

Solving for a variable in terms of other variables in a rational equation: Problem type 3

This one demonstrates how to eliminate the rational parts of the equation as usual, then gather the terms with the chosen variable on one side of the equal sign so that it can be factored to one…

From  Tom Grant 18 plays 0  

Complex fractions: GCF factoring

Demonstrates how to reduce a complex fraction when the technique of factoring a greatest common factor (GCF) is needed.

From  Tom Grant 12 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 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 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 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 14 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  

Factoring out a binomial from a polynomial: GCF factoring, basic

Demonstrates how to remove a common factor that not just a single number or variable, but a binomial i. e. a two-term expression.

From  Tom Grant 43 plays 0  

Factoring out a monomiail from a polynomial: Multivariate

Demonstrates how factor a greatest common factor (GCF) from a polynomial.

From  Tom Grant 28 plays 0