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What is a depressed polynomial?
It is nothing more than a polynomial that is equivalent to another, but has fewer terms. For an example, see Wikipedia, under "quartic equation".
What are quadratic polynomial quartic polynomial constant polynomial and quintic polynomial?
Those words refer to the degree, or highest exponent that modifies a variable, or the polynomial.Constant=No variables in the polynomialLinear=Variable raised to the first powerQuadratic=Variable raised to the second power (or "squared")Cubic=Variable raised to the third power (or "cubed")Quartic=Variable raised to the fourth powerQuintic=Variable raised to the fifth powerAnything higher than that is known as a "6th-degree" polynomial, or "21st-degree" polynomial. It all depends on the highest exponent in the polynomial. Remember, exponents modifying a constant (normal number) do not count.
What is the quartic polynomial function with rational coefficients that has roots you and 2i?
(x - u)*(x - u)*(x + 2i)*(x - 2i) = (x2 - 2xu + u2)*(x2 + 4) = x4 - 2x3u + x2(u2 + 4) - 8xu + 4u2
What is quartic and biquadratic?
A quartic is a polynomial of degree 4, meaning the highest exponent is 4. Biquadratic can mean the same thing, but most mathematicians use the term biquadratic to refer to an equation of degree 4 with no odd powers. So for example we cannot have an x3 term. An example of a biquadratic is: x4 +x2 + 22=0
Which number is next in the series 8 13 18 24 39?
There seems to be no logical order to this set of numbers. * * * * * Or, you could try 78. Fit the quartic polynomial t(n) = (7n4 - 66n3 + 221n2 - 186n + 216)/24 for n = 1, 2, 3, ...
Can you use the quadratic formula after reducing a polynomial to a quartic function?
No.
Once you have reduced a polynomial to a quartic function you can always use the quadratic formula to finish the problem?
false
What is another name for a 4th degree polynomial?
A fourth degree polynomial can be called a "quartic".
What kind of polynomial is shown 0.2x4 - 5x2 - 7x?
I am assuming this is: .2x4 - 5x2 - 7x, which would be a Quartic Polynomial.
What is a quartic?
A quartic is an algebraic equation or function of the fourth degree.
Is the polynomial 4x3 plus x plus 1 constant quintic cubic and quartic?
no
What is a depressed polynomial?
It is nothing more than a polynomial that is equivalent to another, but has fewer terms. For an example, see Wikipedia, under "quartic equation".
What are quadratic polynomial quartic polynomial constant polynomial and quintic polynomial?
Those words refer to the degree, or highest exponent that modifies a variable, or the polynomial.Constant=No variables in the polynomialLinear=Variable raised to the first powerQuadratic=Variable raised to the second power (or "squared")Cubic=Variable raised to the third power (or "cubed")Quartic=Variable raised to the fourth powerQuintic=Variable raised to the fifth powerAnything higher than that is known as a "6th-degree" polynomial, or "21st-degree" polynomial. It all depends on the highest exponent in the polynomial. Remember, exponents modifying a constant (normal number) do not count.
What is the quartic polynomial function with rational coefficients that has roots you and 2i?
(x - u)*(x - u)*(x + 2i)*(x - 2i) = (x2 - 2xu + u2)*(x2 + 4) = x4 - 2x3u + x2(u2 + 4) - 8xu + 4u2
Express the polynomial x2 − x4 + 2x2 in standard form and then classify it.A.quartic binomialB.quintic trinomialC.cubic trinomial D.quadratic trinomial?
Quartic Binomial
What are some similarities and differences between quartic and cubic functions?
The similarities are that they are polynomial functions and therefore continuous and differentiable.A real cubic will has an odd number of roots (and so must have a solution), a quartic has an even number of roots and so may have no solutions.
What are the characteristics and behavior of a quartic oscillator?
A quartic oscillator is a type of system that follows a fourth-degree polynomial equation in its motion. It exhibits behavior such as oscillation, where it moves back and forth around a stable equilibrium point. The characteristics of a quartic oscillator include nonlinearity, meaning its motion is not directly proportional to its input, and the presence of multiple equilibrium points. Additionally, a quartic oscillator may display complex behavior such as chaos or bifurcations under certain conditions.
