- published: 11 May 2016
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In algebra, a quartic function, is a function of the form
where a is nonzero, which is defined by a polynomial of degree four, called quartic polynomial.
Sometimes the term biquadratic is used instead of quartic, but, usually, biquadratic function refers to a quadratic function of a square (or, equivalently, to the function defined by a quartic polynomial without terms of odd degree), having the form
A quartic equation, or equation of the fourth degree, is an equation that equates a quartic polynomial to zero, of the form
where a ≠ 0.
The derivative of a quartic function is a cubic function.
Since a quartic function is defined by a polynomial of even degree, it has the same infinite limit when the argument goes to positive or negative infinity. If a is positive, then the function increases to positive infinity at both ends; and thus the function has a global minimum. Likewise, if a is negative, it decreases to negative infinity and has a global maximum. In both cases it may or may not have another local maximum and another local minimum.
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How to solve a quartic equation by factoring
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Best way to find roots in 15 seconds. www.bankingshortcuts.com
In this video we discuss how to solve quartic equations.
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Topic: The Quartic Equation aka Polynominal of 4th degree What you should know? - Solution of Quadratic and Cubic equation - Determinant of Quadratic Equation ax²+bx+c = 0 : D = b²-4*a*c - Complex Numbers for complete solution What you will learn: - Solving the Quartic Equation - Making a Quadratic Equation a perfect Square
Substitute to transform the degree 4 equation to quadratic equation and the solve by factoring.
Part I of a series of lectures about solving cubic and quartic equations
This is a MAML (Maine Association of Math Leagues) problem from Month (Meet 5 of 2010-11), Round 1, Problem 3: http://maml.net/problems.htm The operating system used was Ubuntu 16.04 LTS: http://www.ubuntu.com/ Also, this was recorded with Vokoscreen: http://packages.ubuntu.com/trusty/video/vokoscreen The slideshow was made on Google Slides, the math equations were made on Google Docs with gMath: https://chrome.google.com/webstore/detail/gmath/hhaencnpmaacoojogjkobikbmkhikjmm?hl=en-US Share this YouTube channel with the following link! https://bit.ly/nhmyoutubechannel Slideshow: https://drive.google.com/open?id=1_cSeHdirvrDvts3kJSBrwA2228u7C5wTtB4rzBAemWA
Using Long Division to convert Polynomials into Factored Form when degree is 4 and the roots are not given.
https://www.iitutor.com Quartic graph is meaning that it has generally 4 roots with power of four in the polynomial. It show usually 4 intercepts with the x-axis, but is is possible to have less than 4 roots which includes no roots depending on the equation of the quartic graphs.The positive graphs show a nice W shape while negative shows M shape. It the equation has double roots, then the graphs touch the x-axis. If it has a triple root, then the point cuts and holds the x-axis like the horizontal point of inflection. Happy Learning! iitutor team
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Topic: The Quartic Equation aka Polynominal of 4th degree What you should know? - Solution of Quadratic and Cubic equation - Determinant of Quadratic Equation ax²+bx+c = 0 : D = b²-4*a*c - Complex Numbers for complete solution What you will learn: - Solving the Quartic Equation - Making a Quadratic Equation a perfect Square
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