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All polynomials have at least one minimum?

Anonymous

∙ 12y ago

Updated: 10/19/2022

No. For example all polynomials of the form y=xn (or sums of such positive terms) where n is a positive odd number do not have a minimum.

Wiki User

∙ 12y ago

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∙ 12y ago

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All polynomials have at least one maximum?

Not quite. The point at infinity cannot be regarded as a maximum since the value will continue to increase asymptotically. As a result no polynomial of odd degree can have a maximum. Only polynomials of an even degree whose leading coefficient is negative will have a global maximum.

How can you get help with polynomials and other Algebraic problems?

The best way to get help with understanding Algebraic problems on WikiAnswers is to ask a question about a specific type of problem. For example, if you want to know how to multiply polynomials, you could ask "What are the steps needed to multiply polynomials?" There are also some excellent websites that show all the steps to take to solve specific problems. Please see the Related Links below to go to one or more of those websites.

What is the median mode and range in math?

the median is when you put all the numbers in order from least to greatest and find the middle one the mode is the number that occurs most often and the range is the difference between the minimum and the maximum

Do all rational equations have a single solution?

Not all rational equations have a single solution but can have more than one because of having polynomials. All rational equations do have solutions that cannot fulfill the answer.

Do all quadrilaterals at least one right angle?

No

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Related Questions

Do all polynomials have at least one maximum?

False

Do all polynomials have at least one minimum?

Polynomials of an even degree will always have either a minimum point, or a maximum point, or both.Polynomials of an odd degree may or may not have minima or maxima. If, for example, a polynomial function is simply a transformation of xn, there will be no turning points. For example:f(x) = x5 + 5x4 + 10x3 + 10x2 + 5x + 1 = (x+1)5f'(x) = 5(x+1)4There is only one solution for f'(x) = 0, which is of course x = -1. Since the range of f(x) includes all the real numbers, it follows that this solution represents a point of inflection, and not a turning point.If a polynomial of odd degree does have any turning points, it will have at least one minimum point. It cannot have maximum points only.* * * * *Polynomials of an odd degree cannot have a global maximum or minimum because if the leading coefficient is positive, it goes asymptotically from minus infinity to plus infinity and the other way around if the leading coefficient is negative.

All polynomials have at least one maximum?

Not quite. The point at infinity cannot be regarded as a maximum since the value will continue to increase asymptotically. As a result no polynomial of odd degree can have a maximum. Only polynomials of an even degree whose leading coefficient is negative will have a global maximum.

What is the minimum sentence for a felony in California?

At least one year and one day in prison.

What is another way to say at least?

Minority would be one

What is the minimum number of stars in a star system?

A star system must have at least one star to be classified as such. So, the minimum number of stars in a star system is one.

Are all polynomials either even or odd?

No. Polynomials are made up of several terms. The terms can be even or odd (assuming they aren't variables, in which case, you don't know if they're even or odd), but the polynomial itself isn't one or the other.

Minimum number of directors in private company?

Minimum number of director in a private company is 2.

Minimum age for office of Representives?

The minimum age one must be for the House of Representatives is 25 years old. One must also be a US citizen for at least 7 years.

Is being unpaid for working illegal?

Absolutely, it is illegal. All workers must be paid at least the minimum wage, as specified by federal or state law (whichever one is higher).

What is a ratio of two polynomials?

It is an algebraic fraction, consisting of (one polynomial) divided by (the other one).

Do YOU care about how to factor a polynomial?

Do you care weather a random stranger on their computer cares how to factor polynomials. P.S. i do in fact care how to factor polynomials, but i'm most likely in the minority on this one.

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