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Online Math Dictionary: Q

Easy to understand math definitions for K-Algebra mathematics
Just scroll down or click on the word you want and I'll scroll down for you!
 

quadrant quadratic equation quadratic formula
quadratic polynomial quadrilateral quotient

 

Quadrant
When working with the Cartesian plane (also called the rectangular coordinate system), aquadrant is one of the four different regions on the plane.  They are usually labeled with Roman numerals, starting with I and going counter-clockwise in order.  As you can see on the picture on the right, there are four quadrants on the Cartesian plane.  The quadrants are separated by the x and y axes.

quadrants on the Cartesian plane

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Quadratic Equation
A quadratic equation is of the form

quadratic equation: ax^2+bx+c=0  where ab and c are numbers.  
In this example:
quadratic equation: x^2-6x+4=0   is really   quadratic equation: 1x^2-6x+4=0
where = 1= -6 and = 4

It's the x squared term that makes the equation quadratic.  Without that, it would just be a linear equation.  It is an equation since is it set equal to 0.


For more info on solving quadratic equations, check out my  lessons onQuadratics Solving Overview.   Here are the full  lessons: Solving Quadratics by FactoringSolving Quadratics by Using the Square RootSolving Quadratics with the Quadratic Formula.

 

Quadratic Formula
Given a quadratic equation in the form  quadratic equation: ax^2+bx+c=0

The quadratic formula (which I like to call The Quadranator) gives you the values for x.  Here's the formula:

quadratic formula

For example, given the quadratic equation

quadratic equation: x^2-6x+4=0  which is  really  quadratic equation: 1x^2-6x+4=0 
where = 1= -6 and = 4

quadratic formula

For more info and examples on the quadratic formula, check out my Quadratic Formula lesson.
To see where the quadratic formula comes from, check out my animated Proof of the Quadratic Formula.

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Quadratic Polynomial
A quadratic polynomial is of the form 
                                                               quadratic polynomial: f(x)=ax^2+bx+c
The graph of a quadratic polynomial is the parabola.
For more info on quadratic polynomials,  check out my Quadratics lessons.

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Quadrilateral
quadrilateral is a four sided polygon.

For more info and properties of quadrilaterals (squaresrectangleskitestrapezoids,rhombi and parallelograms), check out my Geometry and Trig Reference Area.

quadrilateral

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Quotient
In a division problem, the quotient is the answer.   In the problem below, the 2 is the answer.

6/3=2
For more info, check out my Division Lessons.

 

A B C D E F G H I no 
J's
K L M
N O P Q R S T U V W no 
X's
no 
Y's
no 
Z's