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A fourth degree polynomial can be called a "quartic".

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What is the name of a function of the 4th degree equation?

A function of the 4th degree equation is called a "quartic function." It can be expressed in the general form ( f(x) = ax^4 + bx^3 + cx^2 + dx + e ), where ( a, b, c, d, ) and ( e ) are constants, and ( a \neq 0 ). Quartic functions can have up to four real roots and can exhibit a variety of shapes, including local maxima and minima.


What is the sentenceing on 4th degree 2c 43-6 4d?

What is sentencing for a 2C:28-4B


What can a protractor do?

It can help you measure the degree of angles. Teachers usually teach this skill sometime in 4th grade.


What is the subdominant key in the G major scale?

The subdominant is the 4th scale degree. In G major, that's C.


How do you factor out x cubed minus 1?

One obvious root of this is x = 1, so (x-1) is a factor. Use long division of (x3 -1)/(x-1) and the quotient (x2 + x + 1) will be another factor. So (x3 -1) = (x-1)(x2 + x + 1). Remember that a cubic polynomial will always have 3 roots. It will either be 1 pure real root and 2 complex roots, or 3 pure real root. In this case (x2 + x + 1) has two complex roots, and cannot be factored with real numbers. In general, any odd-powered polynomial (3rd order, 5th order etc), will have at least one pure real root, and then pairs of either pure-real or complex roots. Any even powered polynomial (2nd order, 4th order, etc) will have pairs of either pure-real, or complex roots. Don't be fooled if you only find one root. Example: (x2 + 2x + 1) actually has a double root, as it is factored into (x+1)(x+1).

Related Questions

What is the degree for 6xy to the third power?

The degree for 6xy to the 3rd power is equal to the addition of the exponents of equal polynomial that means 1+3 (1 for the x and 3 for the y) and you get an answer of a 4th degree polynomial


What is the degree of the following polynomial 3x to the seventh power plus 4 x to the 6th power minus 2x to the 4th power plus 8?

A 7th degree polynomial.


What is the next number in the pattern of 60 30 20 15 12?

It is possible to find a polynomial of degree 5 such that any number at all can be made the next number in the sequence. However, using the following 4th degree polynomial, Un = (n4 - 15n3 + 85n2 - 225n + 274)/2 the next number is 20.


What does 4th degree assault mean?

Assault in the fourth degree means that the person intentionally, knowingly or recklessly causes physical injury to another. It can also be with criminal negligence that causes physical injury to another means of a deadly weapon. Assault in the fourth degree is a Class A misdemeanor.


What is the difference between 3rd degree and fourth degree larceny?

The main difference between 3rd degree and 4th degree larceny is the value of the stolen property. In most jurisdictions, 3rd degree larceny involves theft of higher value items compared to 4th degree larceny, which involves theft of lower value items. The penalties for 3rd degree larceny are usually more severe than those for 4th degree larceny.


What degree do you need to be an elementary school teacher in Arkansas?

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What is a 6 letter word with an s as the 4th letter that is another name for states?

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How do you find a 4th degree polynomial with zeros x equals 4 x equals -3 and x equals 6i?

There are only three roots given so, in general, there is no unique answer. However, if it is a real polynomial, then its complex roots must come in conjugate pairs. Then 6i is a root implies that -6i is a root. So the polynomial is (x - 4)(x + 3)(x + 6i)(x - 6i) = (x2 - x - 12)(x2 + 36) = x4 + 36x2 - x3 - 36x - 12x2 - 432 = x4 - x3 + 24x2 - 36x - 432


What type of burn has charred skin?

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What degree do you get first?

First degree burn is the least sever burn. Then it is 2nd, 3th, and 4th degree burns.


What is another name for square root?

Exponents, such as 2 to the 3rd power or 4 to the 4th power.


What is forgery 4th degree?

antonio antwain scott