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
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.
It is nothing more than a polynomial that is equivalent to another, but has fewer terms. For an example, see Wikipedia, under "quartic equation".
Each distinct real root is an x-intercept. So the answer is 4.
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.
(x - u)*(x - u)*(x + 2i)*(x - 2i) = (x2 - 2xu + u2)*(x2 + 4) = x4 - 2x3u + x2(u2 + 4) - 8xu + 4u2
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.
A biquadratic is a polynomial which involves only the second and fourth powers of a variable.
it a biquadratic bezier patch.
Jean-Marc Deshouillers has written: 'On sums of sixteen biquadrates' -- subject(s): Biquadratic Equations, Equations, Biquadratic
A quartic is an algebraic equation or function of the fourth degree.
Quartic means that the "dominant" term is proportional to n^4
A quartic.
Luca Pacioli (1445-1515) discussed quartic equations, but did not have a general solution. Lodovico Ferrari (1522-1565) devised a solution.
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
He is known for quartic equations.
No.
Helen Grace Telling has written: 'The rational quartic curve in space of three and four dimensions' -- subject(s): Hyperspace, Quartic Curves