common factor

Examples of common factor in the following topics:

• Introduction to Factoring Polynomials

  • Factoring by grouping divides the terms in a polynomial into groups, which can be factored using the greatest common factor.
  • Factor out the greatest common factor, $4x(x+5) + 3y(x+5)$.
  • Factor out the binomial $(x+5)(4x+3y)$.
  • One way to factor polynomials is factoring by grouping.
  • Both groups share the same factor $(x+5)$, so the polynomial is factored as:

• Finding Factors of Polynomials

  • We now divide each term with this common factor to fill in the blanks.
  • The common factor is $3$.
  • Whenever trying to factor a complicated expression, always begin by looking for common factors that can be pulled out.
  • The factor must be common to all the terms.
  • This follows the rule: always begin by pulling out common factors before trying anything else.

• Coagulation

  • The coagulation cascade is classically divided into three pathways: the contact (also known as the intrinsic) pathway, the tissue factor (also known as the extrinsic pathway), and the common pathway.
  • Both the contact pathway and the tissue factor feed into and activate the common pathway.
  • This initiates a cascade in which factor XII is activated, which then activates factor XI, which activated factor IX, which along with factor VIII activates factor X in the common pathway.
  • Tissue factor III acts on tissue factor VII in circulation and feeds into the final step of the common pathway, in which factor X causes thrombin to be created from prothrombin.
  • In the final common pathway, prothrombin is converted to thrombin.

• Hemostasis Disorders

  • The most common blood disorders involve defects in the amount or activity of factors involved in coagulation.
  • The most common blood disorders, Von Willebrand disease, hemophilia, and Factor V Leiden thrombophilia, all involve defects in the amount or activity of factors involved in coagulation.
  • Type 1 von Willebrand disease is the mildest and most common form of the disease.
  • Hemophilia is a recessive, sex-linked inheritable disorder, which is more common in men than women.
  • Factor V Leiden is the most common hereditary hypercoagulability disorder among Eurasians.

• Introduction to quantitative analysis

  • The approach of locating, or scoring, individual cases in terms of their scores on factors of the common variance among multiple indicators is the goal of factor and components analysis (and some other less common scaling techniques).
  • Techniques like Tools>MDS and factor or principal components analysis could be used to "scale" either actors or events.
  • UCINET includes two closely-related factor analytic techniques (Tools>2-Mode Scaling>SVD and Tools>2-Mode Scaling Factor Analysis) that examine the variance in common among both actors and events simultaneously.
  • This allows us to see which actors are similar in terms of their participation in events (that have been weighted to reflect common patterns), which events are similar in terms of what actors participate in them (weighted to reflect common patterns), and which actors and events are located "close" to one another.
  • It is sometimes possible to interpret the underlying factors or dimensions to gain insights into why actors and events go together in the ways that they do.

• Rational Algebraic Expressions

  • But how do you find the least common denominator?
  • We start, as usual, by factoring.
  • When we add or subtract rational expressions, we will not simply be considering the prime factors of integers when looking for the least common denominator.
  • Rather, we will be looking for monomial and binomial factors that are common to both rational expressions.
  • Finding the prime factors of the denominators of two fractions enables us to find a common denominator.

• The PESTEL and SCP Frameworks

  • A PESTEL analysis looks at the six most common macro-environmental factors to understand their interactions.
  • Political factors include how, and to what degree, a government intervenes in the economy.
  • Social factors can be very difficult to measure with certainty.
  • Industries like tourism, farming, and insurance are especially affected by these factors.
  • These factors can affect how a company operates, its costs, and the demand for its products.

• Growth Factors

  • Growth factors, cytokines and hormones are all chemical messengers that mediate intercellular communication.
  • A growth factor is a naturally occurring substance capable of stimulating cellular growth, proliferation and cellular differentiation such as granulocyte macrophage colony-stimulating factor (GM-CSF), a growth factor which stimulates the production of white blood cells.
  • Growth factors are typically cytokines or hormones, but not all cytokines and hormones are growth factors.
  • Confusingly cytokine and growth factor are sometimes used interchangeably.
  • This chart shows the complexity of interactions, and the multitude of growth factors that stimulate proliferation and differentiation of cells that is common to all cell types.

• Between- and Within-Subjects Factors

  • When different subjects are used for the levels of a factor, the factor is called a between-subjects factoror a between-subjects variable.
  • When the same subjects are used for the levels of a factor, the factor is called a within-subjects factor or a within-subjects variable.
  • It is common for designs to have more than one factor.
  • This design has two factors: age and gender.
  • Complex designs frequently have more than two factors and may have combinations of between- and within-subjects factors.

• Bone Remodeling

  • Numerous bone-derived growth factors have been isolated and classified via bone cultures.
  • These factors include insulin-like growth factors I and II, transforming growth factor-beta, fibroblast growth factor, platelet-derived growth factor, and bone morphogenetic proteins.
  • Platelet-derived growth factor has been found to enhance bone collagen degredation.
  • Essentially, bone growth factors may act as potential determinants of local bone formation.
  • Hip fractures are especially troublesome as they result in a long recovery period during which complications that may lead to death are quite common.