factorization

Examples of factorization in the following topics:

• Factors

  • This is a complete list of the factors of 24.
  • Therefore, 2 and 3 are prime factors of 6.
  • However, 6 is not a prime factor.
  • To factor larger numbers, it can be helpful to draw a factor tree.
  • This factor tree shows the factorization of 864.

• 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:

• Regulation of Sigma Factor Activity

  • Sigma factors are proteins that function in transcription initiation .
  • The activity of sigma factors within a cell is controlled in numerous ways.
  • However, if transcription of genes is not required, sigma factors will not be active.
  • The anti-sigma factors will bind to the RNA polymerase and prevent its binding to sigma factors present at the promoter site.
  • The anti-sigma factors are responsible for regulating inhibition of transcriptional activity in organisms that require sigma factor for proper transcription initiation.

• Factoring Accounts Receivable

  • Factoring is a financial transaction whereby a business sells its accounts receivable to a third party (called a "factor") at a discount.
  • There are two principal methods of factoring: recourse and non-recourse.
  • On the other hand, the factor assumes the entire credit risk under non-recourse factoring (i.e., the full amount of invoice is paid to the client in the event of the debt becoming bad).
  • Factors never assume "quality" risk, and even a non-recourse factor can charge back a purchased account which does not collect for reasons other than credit risk assumed by the factor, (e.g., the account debtor disputes the quality or quantity of the goods or services delivered by the factor's client).
  • The sale of the receivables essentially transfers ownership of the receivables to the factor, indicating the factor obtains all of the rights associated with the receivables.

• Total Factor Productivity

  • Increases in total factor productivity reflect a more efficient use of inputs, and total factor productivity is often taken as a measure of long-term technological change or dynamism brought about by such factors as technical innovation.
  • Total factor productivity cannot be measured directly.
  • How effectively the factors of production are used is also important.
  • Total factor productivity is less tangible than capital and labor inputs, and it can account for a range of factors, from technology, to human capital, to organizational innovation.
  • Total factor productivity can be used to measure competitiveness.

• 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.
  • Hematopoiesis as it occurs in humans, with important hemopoietic growth factors affecting differentiation.

• Factoring General Quadratics

  • We can factor quadratic equations of the form $ax^2 + bx + c$ by first finding the factors of the constant $c$.  
  • This leads to the factored form:
  • First, we factor $a$, which has one pair of factors 3 and 2.
  • Then we factor the constant $c$, which has one pair of factors 2 and 4.
  • Using these factored sets, we assemble the final factored form of the quadratic

• Regulation of Sigma Factor Translation

  • Sigma factors are proteins that regulate gene expression that are controlled at various levels, including at the translational level.
  • Sigma factor expression is often associated with environmental changes that cause changes in gene expression .
  • Sigma factors include numerous types of factors.
  • Specifically, the translational control of the sigma factor is a major level of control.
  • The translational control of sigma factors involves the presence and function of small noncoding RNAs.

• Analysis of Variance Designs

  • Be able to identify the factors and levels of each factor from a description of an experiment
  • Determine whether a factor is a between-subjects or a within-subjects factor
  • Therefore, "Type of Smile" is the factor in this experiment.
  • If an experiment has two factors, then the ANOVA is called a two-way ANOVA.
  • The factors would be age and gender.

• Contributing Factors to the Impact of the Visual Image