# Search for tag: "gcf"

#### Adding rational expressions with common denominators & GCF factoring

An example that is easy to combine with subtraction, in this case, because the two fractions have common denominators. However, be aware that there may be a way to simplifying the answer further. …

From  Tom Grant 6 plays 0

#### 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 polynomials using GCF factoring

This shows the results of factoring the GCF from the numerator and denominator of an algebraic fraction and then reducing using the division of identical factors resulting in replacing them with 1…

From  Tom Grant 10 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 31 plays 0

#### Greatest common factor of two multivariate monomials

Expands each monomial as a list of all of its prime factors, then showing those that both lists have in common to develope the GCF.

From  Tom Grant 23 plays 0

#### Introduction to the GCF of two monomials.

A short example of factoring each of two terms so we can see clearly what the common factors are.

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 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 14 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 16 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 44 plays 0

#### Factoring out a monomiail from a polynomial: Multivariate

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

From  Tom Grant 29 plays 0

#### Factoring a linear binomial

Shows how to factor the greatest common factor from a simple linear binomial

From  Tom Grant 31 plays 0

#### Simplifying a Fraction

Demonstration of how a single fraction is reduced to its lowest terms. There is also a review of finding the greatest common factor for two larger numbers by prime factorization.

From  Tom Grant 32 plays 0

#### Greatest common factor of 2 numbers

From  Tom Grant 23 plays 0