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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
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How do you solve a biquadratic equation?
Equations of the form z^4+az^2+a_0 are known as biquadratic equations. They are quartic equations. In general they can be solved by reducing them to a quadratic equation where x=z^2 is the variable. Then you can use the quadratic formula or factor. So plugging in x to the biquadratic giives us x^2+ax+a_0.
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".
How many x-intercepts does a quartic polynomial function having 4 distinct real roots have?
Each distinct real root is an x-intercept. So the answer is 4.
4 square inches by 4 square inches?
This would be a tesseract (a 4-dimensional hypercube) with a hypervolume of 16 quartic-inches. However, this is almost certainly not what you mean to ask. You need to reword your question.
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
How do you solve a biquadratic equation?
Equations of the form z^4+az^2+a_0 are known as biquadratic equations. They are quartic equations. In general they can be solved by reducing them to a quadratic equation where x=z^2 is the variable. Then you can use the quadratic formula or factor. So plugging in x to the biquadratic giives us x^2+ax+a_0.
What is a biquadratic?
A biquadratic is a polynomial which involves only the second and fourth powers of a variable.
What is steiner patch?
it a biquadratic bezier patch.
What has the author Jean-Marc Deshouillers written?
Jean-Marc Deshouillers has written: 'On sums of sixteen biquadrates' -- subject(s): Biquadratic Equations, Equations, Biquadratic
What is a quartic?
A quartic is an algebraic equation or function of the fourth degree.
What is quartic sequence?
Quartic means that the "dominant" term is proportional to n^4
What is produced when you square a binomial?
A quartic.
How do you foil a quartic?
A quartic equation can be factored by grouping or using a substitution method. You can also use the rational root theorem to find potential rational roots and factorize the quartic equation accordingly. Alternatively, you can use numerical methods or technology to approximate the roots.
Who is credited with discovering a Quartic Formula?
Luca Pacioli (1445-1515) discussed quartic equations, but did not have a general solution. Lodovico Ferrari (1522-1565) devised a solution.
What has the author Leonarda Burke written?
Leonarda Burke has written: 'On a case of the triangles in-and-circumscribed to a rational quartic curve with a line of symmetry' -- subject(s): Quartic Curves, Triangle
What is Ludovico Ferrari's contribution to math?
He is known for quartic equations.
Can you use the quadratic formula after reducing a polynomial to a quartic function?
No.
