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Introduction The quadratic equation is a one-variable polynomial equation with degree two. The highest power of the unknown variable in a quadratic equation is two. The general form of a quadratic equation f(x) with variable x is f(x)=ax2+bx+c=0, in which a≠0 and a, b, c ϵ R. Every quadratic equation has two roots which can be real or imaginary. The discriminant of a quadratic equation determines the nature of the roots. The roots can be calculated using the quadratic formula. Quadratic Equations A Quadratic equation is a polynomial equation of one variable with a degree of two. The general ... Read More
Introduction Polynomials are mathematical expressions containing variables and coefficients. James Waddell Alexander II invented the concept of the polynomial. There are various terms associated with the polynomial. In this tutorial, we will discuss the meaning of polynomial, various correlations between the zeroes and the coefficients of polynomial equations with solved examples. Polynomials Polynomials are defined as the algebraic expressions containing one or more variable terms multiplied by constant terms. There are two terms associated with a polynomial, such as coefficients (i.e., constants) and variables. For example, $\mathrm{\mathit{f}(p)=p^2+2p+5}$ is an example of a polynomial. The given polynomial is denoted by f(p). ... Read More
Introduction In our daily life, we come across various geometrical objects whose dimensions need to be measured for convenience. In this direction, there are various measuring instruments invented and used. In addition, the measured amount is expressed by various units. In this tutorial, we will discuss the units of measurement of length, metric system, feet system, various units, and their mutual conversion with solved examples. Units of Measurement of Length The measurement of length means to measure the distance between two end-points of the specific object. It is a skill that helps us measure the length of various objects. ... Read More
Introduction In daily life, we come across various geometrical objects, which are bounded by straight line segments. These are known as polygons. The polygons are categorized into various types based on their number of sides and angles. The rectangle is one type of polygon extensively used in Euclidean geometry. Various objects such as black boards, carrom boards, books, doors, smartphones, beds, etc. These are real-life examples of the rectangle. In this tutorial, we will discuss the meaning, properties, types, and basic formulae related to the rectangle with solved examples. Rectangle A rectangle is a two-dimensional polygon embedded in four ... Read More
Introduction A cartesian plane is a two-dimensional plane which is part of a coordinate system. The concept of a cartesian plane is mostly used in Euclidean geometry & algebra. In a two-dimensional plane system, any point can be specified by x-coordinate y-coordinate. Axes on the cartesian plane divided it into 4 equal & infinite parts called quadrants. These quadrants are named quadrant I, quadrant II, quadrant III & quadrant IV. In the case of a circle, a quadrant can be represented by a quarter of the circle. So let's study the topic quadrant of the cartesian plane & circle in ... Read More
Introduction A quadratic equation is a polynomial equation with the highest degree of two. The values satisfying the quadratic equation are called roots of them. There are a few methods to solve a quadratic equation and find its roots. The roots can be calculated using the factorization method by splitting the middle term, converting the quadratic equation into a complete square, and using the quadratic formula. Quadratic Equations A Quadratic equation is a polynomial equation of one variable with a degree of two. The general form of a quadratic equation f(x)=ax2+bx+c=0, in which x is the unknown variable, a≠0, ... Read More
Introduction A quadratic equation is a polynomial equation with the highest degree of two. The values satisfying the quadratic equation are called roots of them. There are a few methods to solve a quadratic equation and find its roots. The roots can be calculated using the factorization method by splitting the middle term, converting the quadratic equation into a complete square, and using the quadratic formula. Quadratic Equations A Quadratic equation is a polynomial equation of one variable with a degree of two. The general form of a quadratic equation f(x)=ax2+bx+c=0, in which x is the unknown ... Read More
Introduction A quadrilateral in geometry is a four-sided polygon with four sides and four corners (vertices). The Latin words Quadra, a variation of four, and latus, meaning "side, " are the source of the name. In reference to other polygons, it is also known as a tetragon, from the Greek "tetra" for "four" and "gon" for "corner" or "angle" (e.g. pentagon). Since "gon" is an anagram for "angle, " it is also known as a quadrangle or 4-angle. There are two types of quadrilaterals: simple (not self-intersecting) and complex (self-intersecting, or crossed). Convex or concave quadrilaterals are simple ... Read More
Introduction In statistics, three major terms are used to describe the central tendencies of data, i.e., mean, median, and mode. However, these terms refer to a specific number that represents the central value. However, quartile is another statistical term used to describe the data more efficiently than the above term. The concept of quartile is generally used to compare the data of one company with another. In addition, it is used to represent the median and quartiles graphically. In this tutorial, we will learn about the definition, formula, deviation, range, and some solved examples related to quartiles. Definition The ... Read More
Introduction Division is splitting (dividend) into equal parts by a known number of parts (divisor). Division is used everywhere in real life. When a number is divided by the same number the result is 1. Example: 4\/4 = 1. When a number is divided by 1 the result is the same number. Example:15/1=15 . When 0 is divided by a number, the result is 0. Example: 0÷14 = 0. When a number is divided by 0, the result doesn't have any value. Example: 7÷0 = undefined. Division Algorithm To divide a number there are two steps to follow − ... Read More