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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

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During the 1990s, several airlines were on the brink of bankruptcy. These same airlines were giving away millions of dollars in
lara [203]

Answer:

Assuming that the elimination of frequent-flyer programs would have enabled the airlines to earn higher profits and remain in business, then it would be a purely good idea for the airlines to eliminate their frequent-flyer programs.

The big question is, how much did the frequent-flyer programs cost the airlines?  Would the cost-savings be sufficient to eliminate their bankruptcies?  It is a known-fact that the airlines that create such programs always recover the program costs by charging higher fares.

Explanation:

The issue of airlines going bankruptcy does not seem to stem from customer-loyalty programs like the frequent-flyer programs.  The root cause lies in operational and other costs that airline managements have not been able to control.

4 0
2 years ago
Trudy’s monthly expenses are outlined in the chart below. Trudy’s job pays her $36,000 annually. Determine Trudy’s DTI (debt-to-
cluponka [151]

Answer:

d. 44%

Explanation:

Calculation to determine what DTI ratio is

First step is to calculate the Debt

Using this formula

Debt = (Rent expense + Carr payment + Loan + Credit card payment) × Number of months in a year

Let plug in the formula

Debt =[($695 + $265 + $200 $160) × 12 months]

Debt= $1,320 × 12 months

Debt = $15,840

Now let calculate DTI ratio using this formula

Using this formula

Debt to income ratio = (Debt) ÷ (Income) × 100

Let plug in the formula

DTI ratio=[ ($15,840 ÷ $36,000) × 100]

DTI ratio=0.44*100

DTI ratio= 44%

Therefore DTI ratio is 44%

6 0
3 years ago
Read 2 more answers
Robert Solomon and Fernando Flores argue that trust is a choice to believe the trusted person is telling the truth, without inde
Anarel [89]

Answer:

Yes.

Explanation:

Yes, the Solomon and Flores form of trust exist in business if bluffing is an accepted rule of business negotiation because bluffing is acceptable in the business. If bluffing is an accepted rule of business negotiation then there is no trust formed between Solomon and Flores and the reason for this is that bluffing is a bad act which makes relationship worse between the partners but in this case trust exist in business due to the rule of bluffing.

4 0
3 years ago
The Federal Reserve mandates that banks must keep a certain percentage of money on hand at particular times. What is this referr
mars1129 [50]

Answer:

a. Reserve requirement

Explanation:

As we know that the bank must hold the money percentage of the deposits made in cash as per the federal reserve so the same we called as a reserve requirement.

It is mandatory to keep the specific percentage for particular times

Therefore as per the given situation, the option a is correct

And, all the other options are incorrect

3 0
3 years ago
On June 17, the Lattern Company issued 120,000 shares of its $0.10 par value common stock in exchange for land. On the date of t
Aloiza [94]

Answer:

The answer is A. Debit: Land, $1,200,000

Explanation:

The journal entry Lattern Company needs to record is:

Dr Land 1,200,000

Cr Common share 12,000

Cr Paid-in capital - Common share   1,188,000

As 120,000 shares is exchanged for the land and the share is traded in the exchange, the value of the land should be recorded at the market price of these 120,000 shares or 120,000 x 10 = $1,200,000.

Common share account is recorded at par value x number of shares issued = 0.1 x 120,000 = $12,000 while Paid-in capital-Common share account records the difference between market price and par value at the time of shares issuance or ( 10 - 0.1) x 120,000 = $1,188,000.

Thus, the correct answer is A. Debit: Land, $1,200,000

5 0
3 years ago
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