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What else can I help you with?
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
Which finite differences are constant for a quartic function?
For a quartic function, the second and fourth finite differences are constant. The first finite differences will vary, while the second differences, representing the change in the first differences, will become constant. The fourth differences will also be constant because the quartic function is a polynomial of degree four.
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 is a quartic function with only the two real zeros given x -4 and x -1?
A quartic function with only the two real zeros (x = -4) and (x = -1) can be expressed as (f(x) = k(x + 4)^2(x + 1)^2), where (k) is a non-zero constant. This form ensures that both zeros are of even multiplicity, resulting in a quartic polynomial. For example, if (k = 1), the function would be (f(x) = (x + 4)^2(x + 1)^2).
How do you Solve 4th polynomial equations?
To solve a fourth-degree polynomial equation (quartic), you can use several methods, including factoring, synthetic division, or the quartic formula. First, check for possible rational roots using the Rational Root Theorem and factor the polynomial if possible. If factoring is not feasible, you can apply the quartic formula, which is more complex than the quadratic formula but can yield exact solutions. Alternatively, numerical methods or graphing can help find approximate solutions when exact methods are cumbersome.
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
