1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lesechka [4]
3 years ago
13

What is Constant Term? ​

Business
2 answers:
denpristay [2]3 years ago
5 0

Answer:

In mathematics, a constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables. For example, in the quadratic polynomial

   x 2 + 2 x + 3 ,   {\displaystyle x^{2}+2x+3,\ } x^{2}+2x+3,\

the 3 is a constant term.

After like terms are combined, an algebraic expression will have at most one constant term. Thus, it is common to speak of the quadratic polynomial

   a x 2 + b x + c ,   {\displaystyle ax^{2}+bx+c,\ } ax^{2}+bx+c,\

where x is the variable, and has a constant term of c. If c = 0, then the constant term will not actually appear when the quadratic is written.

It is notable that a term that is constant, with a constant as a multiplicative coefficient added to it (although this expression could be more simply written as their product), still erm as a variable is still not present in the new term. Although the expression is modified, the term (and coefficient) itself classifies as constant. However, should this introduced coefficient contain a variable, wginal number has a constant meaning, this has no bearing if the new term stays constant as the introduced coefficient will always override the constant expression - for example, in ( x + 1 ) ( x − 2 ) {\displaystyle (x+1)(x-2)} (x+1)(x-2) when x is multiplied by 2, the result, 2x, is not constant; while 1 * -2 is -2 and still a constant.

Any polynomial written in standard form has a unique constant term, which can be considered a coefficient of x0. In particular, the constant term will always be the lowest degree term of the polynomial. This also applies to multivariate polynomials. For example, the polynomial

   x 2 + 2 x y + y 2 − 2 x + 2 y − 4   {\displaystyle x^{2}+2xy+y^{2}-2x+2y-4\ } x^{2}+2xy+y^{2}-2x+2y-4\

has a constant term of −4, which can be considered to be the coefficient of x0y0, where the variables are eliminated by being exponentiated to 0 (any number exponentiated to 0 becomes 1). For any polynomial, the constant term can be obtained by substituting in 0 instead of each variable; thus, eliminating each variable. The concept of exponentiation to 0 can be extended to power series and other types of series, for example in this power series:

   a 0 + a 1 x + a 2 x 2 + a 3 x 3 + ⋯ , {\a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+\cdots ,} a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+\cdots ,

a0 is the constant term. In general a constant term is one that does not involve any variables at all. However in expressions that involve terms with other types of factors than constants and powers of variables, the notion of constant term cannot be used in this sense, since that would lead to calling "4" the constant term of ( x − 3 ) 2 + 4 {\displaystyle (x-3)^{2}+4} (x-3)^{2}+4, whereas substituting 0 for x in this polynomial makes it evaluate to 13.

Explanation:

stich3 [128]3 years ago
5 0

Answer:

Constant Term  

The term in a simplified algebraic expression or equation which contains no variable(s). If there is no such term, the constant term is 0.

Explanation:

Example:   –5 p(x) 2x^{3} -4x^{2} +9x-5

You might be interested in
Christmas is ranked as the most commercial holiday. Where is Halloween on this list?
sergeinik [125]
I think that if christmas is on first place halloween should be in like5th/6th place on the list of commercial holiday because of easter
5 0
3 years ago
Read 2 more answers
An avocado orchard employs five full-time workers.​ Currently, the average product of labor is 120 pounds of avocados per day. T
Elenna [48]

Answer:

125 pounds

Explanation:

Firstly, we need to know the total product of labor of the five full time workers.

This is equal to 120 * 5 = 600 pounds

The last worker is 150 pounds

The total now is 600 + 150 = 750 pounds

The average product of the six workers will now be 750/6 = 125 pounds

7 0
3 years ago
If Mikael decides to go out with his friends instead of study for his biology test, what is the opportunity cost?
denis-greek [22]

Answer:

Studying his biology test

Explanation:

opportunity cost refers to the cost of the forgone alternative inorder to enjoy another service

7 0
3 years ago
What does a person need if he or she is not able to pay for a planned purchase in full with a check or cash? A. a credit card B.
Gennadij [26K]

Answer:

C. a long-term loan from a bank

Explanation:

A loan or credit facility is suitable when a person is unable to pay in cash or by check. Lenders such as banks and credit unions offer credit facilities to their customers. These institutions charge  interest on loans advanced.

When planning for a capital intensive purchase, a long term bank loan is suitable. Banks can extend credit facilities for huge amounts of money. The monthly repayments and interest rates for a long-term loan are usually low, making it affordable to many borrowers.

8 0
2 years ago
What are the four types of costs that a business must consider in making business decisions
klio [65]

Fixed and Variable

Direct and Indirect  

Product and Period

7 0
3 years ago
Other questions:
  • A company wants to set up operations in a country with the following corporate tax rate structure: Taxable Income Tax Rate <$
    8·1 answer
  • ________ can occur when individuals who are part of a group focus on preserving group solidarity at the expense of considering a
    11·1 answer
  • is it legal for south African firms to collude with one another to set prices ,provide some evidence in support of your answer
    6·1 answer
  • Suppose a manufacturing plant is considering three options for expansion. The first one is to expand into a new plant (large), t
    11·2 answers
  • Toys Unlimited has the following cost data available. Direct Materials are $99 per unit. Direct Labor is $55 per unit. Variable
    15·1 answer
  • The firm's findings are best described as the
    8·1 answer
  • Which of the following statements is false? a.In normal costing, actual overhead costs always enter the work-in-process account.
    11·2 answers
  • norma inc. uses the perpetual inventory system. when the company records a sale, it should make entries to:
    8·1 answer
  • determine the net income of a company for which the following information is available for the month of july. employee salaries
    15·1 answer
  • A planned process for providing financial information that will be useful to management.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!