Factor by grouping

Factoring by grouping is usually done when you have at least 4 terms and they do not look to have anything in common. The procedure for that is:

Factor by grouping, in layman language, is simply defined as the grouping of terms with common factors before factoring a polynomial. A polynomial is a mathematical expression that is formed by variables and constants. The construction of such variables and constants is done by using operations of addition, subtraction, multiplication and non-negative whole number exponents (constants). Before we get down to factor by grouping methods

In mathematics, factoring is one of the important topic in algebra. Given expression can be factored by using the method of factoring by grouping. The given polynomial expression can be factored by different methods that are factoring by grouping, using trinomials by ac method, and group the polynomials more than two groups. Let us solve some example problems in factoring by grouping.

In our next blog we shall learn about levels of measurement

I hope the above explanation was useful.Keep reading and leave your comments.

Time

Let us learn about "Time"

Time is quantified in comparative terms or in numerical terms using units Time has been a major subject of religion, philosophy, and science, but defining it in a non-controversial manner applicable to all fields of study has consistently eluded the greatest scholars.

Time is represented through change, such as the circular motion of the moon around the earth. The passing of time is indeed closely connected to the concept of space.Student know tutor time locations to schedule their time for studies.

Time is very precious especially for students. "The key is to have a balanced life. Set aside a fraction of your time to carry out your dreams and ambitions."

Time is limited, Time is scarce, You need time to get what you want out of life, You can accomplish more with less effort, Too many choices

Because a student's time is so valuable, it is important to use it wisely. This can be done by taking advantage of idle time that could be spent studying. This could happen during lunch, on the bus ride to and from school or before a class starts. By taking advantage of these extra minutes, you will more efficiently use your time, reducing time spent studying at home, which will leave time for other activities.

Another useful tip is to find out when you do your best work. Some students are night owls and perform well late into the evening. Others perform better in the morning. Find out which time works for you and concentrate studying and assignment efforts during that period. This uses your time more effectively.

In our next blog we shall learn about parallel axis theorem

I hope the above explanation was useful.Keep reading and leave your comments.

Introduction to factoring quadratic equation

Let us study about Factoring quadratic equation,

An equation is in the form of y= ax² + bx + c, where a, b, c are variables with a not equal to zero is called as quadratic equations. When we graph the quadratic equation, we will get a curve called as parabola.

Parabolas are the curvature that be able to open upward or downward depending the sign of a and it may vary in its "girth", but all the parabolas have the same basic "U" shape.

I hope the above explanation was useful, now let me explain Quadratic Equation Problems

quadrants of a graph

Hi Friends!!!

Let us learn about "quadrants of a graph"

-->Quadrant is the word helps us describes the parts. If you draw straight and perpendicular lines, divide the page into four parts, each called a quadrant graph.

Graph contains four quadrants.

Large amount used one is the 1st quadrants graph which is on the top right.

The left of it is declaring the second quadrants.

The third is the one below the second quadrants.

One on the graph that is below the first quadrant is specified the fourth quadrants graphs.

Graphs are a generalization of trees. Like trees, graphs have nodes and edges

Graphs are pictures that help us understand amounts. These amounts are called data. There are many kinds of graphs, each having special parts.

My skills tutors helped me to learn graph.

What is Odd function

Let us study about Odd function,
Here we are going to learn even and odd functions. Even and odd functions are very useful in graphing and symmetry. Whether a function is even or odd can be said using some algebraic calculations.
Every plot may not have symmetry so there is no need that every function should be even or odd. That is a function can be even or odd or might not be both. Now we will separately learn even and odd functions.

I hope the explanation was useful, now let me explain decimal place value chart.

horizontal asymptotes

Hi Friends, Good Evening!!!

Let us learn about "horizontal asymptotes"

Asymptote is a tangent which touches any curve at infinity , so that we cannot meet the curve and the line in real. We study 3 types of Asymptotes viz. Vertical, Horizontal and Slant/oblique Asymptote. Also in standard terms, Horizontal asymptotes are horizontal lines that the graph of the function approaches to 0 on x axis as x tends to +∞ or −∞. Similarly Vertical asymptotes are vertical lines and the graph of the function approaches to 0 on y axis as y tends to +∞ or −∞. Vertical asymptotes are straight lines near which the function grows without bound.When curve doesn't have Vertical or Horizontal then it contains Slant Asymptote.

Y=0 is and example of Horizontal asymptotes and similarly X=0 is an example of vertical asymptotes

Horizontal asymptotes are horizontal lines the graph approaches.

Horizontal Asymptotes CAN be crossed.

To find horizontal asymptotes:

* If the degree (the largest exponent) of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x-axis (y = 0).

* If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote.

* If the degrees of the numerator and denominator are the same, the horizontal asymptote equals the leading coefficient (the coefficient of the largest exponent) of the numerator divided by the leading coefficient of the denominator

One way to remember this is the following pnemonic device: BOBO BOTN EATS DC

* BOBO - Bigger on bottom, y=0

* BOTN - Bigger on top, none

* EATS DC - Exponents are the same, divide coefficients

The above information is related to 9th grade math.

I hope the above explanation was useful.Keep reading and leave your comments.

Geometry Parts of a Circle

Let us study about the Parts of a circle,
A line to create a circle contains no start otherwise finish; it is a easy closed curve.
* Either point lying on the circumference of a circle is the equal distance as of the middle of the circle.
* A line section as of a point lying on the circumference of a circle to its middle is known as the radius.
* Both line segment to start and ends on the circle’s circumference is known as a chord.
* A chord to exceeds during the middle of a circle is known as the diameter.
The diameter of either circle is double as long as circle within the radius. Each circle contain an infinite number of radii also diameters. For a known circle, every diameters are congruent also every radii are congruent. A chord is a line part that connecting two points on a curve. Within geometry, a chord is frequently utilized to illustrate a line part connecting two endpoints that lie on a circle.
I hope the above explanation helped you.

height conversion

Hi Friends, Good Afternoon!!!

Let us learn about "height conversion".

I guess you practiced about Venn Diagram which we discussed in our previous blog.

Conversion of heights is specified in either centimeter, meters , feet and inches. The height can be converted from cm to feet, meter into feet and etc. in conversion the unit should be mentioned such as cm or feet.
1 centimeter = 0.033 feet
1 feet = 30.48 centimeter, same like
Height converter Cm to feet
2 centimeter = 0.065 616 797 9 feet
3 centimeter = 0.098 425 196 85 feet
Feet to cm
2 feet = 60.96 centimeter
3 feet = 91.44 centimeter
In our next blog we shall learn about "inch centimeter conversion"

Explain Interval notation

Let us study what is Interval notation,

An interval can be shown using set notation. For instance, the interval that includes all the numbers between 0 and 1, including both endpoints, is written 0 ≤ x ≤ 1, and read "the set of all x such that 0 is less than or equal to x and x is less than or equal to 1."

The same interval with the endpoints excluded is written 0 <>

Replacing only one or the other of the less than or equal to signs designates a half-open interval, such as 0 ≤ x <>intervals. In this notation, a square bracket is used to denote an included endpoint and a parenthesis is used to denote an excluded endpoint. For example, the closed interval 0 ≤ x ≤ 1 is written [0,1], while the open interval 0 <: x <>
I hope the above explanation was useful, now let me explain Factorisation.

Area of a circle

Hi Friends,

In our previous blog we learned about "An arc of a Circle". Now let us learn about " Area Of A Circle".

A circle is a simple shape of Euclidean geometry consisting of those points in planes which are equidistant from a given point called the center. The common distance of the points of a circle from its center is called its radius. Circles are simple closed curves which divide the plane into two regions, an interior and an exterior.

Example

The diameter of a circle is 8 centimeters. What is the area?

According to the question, diameter = 8 centimeters so, radius = diameter/2

radius = 8/2 centimeters

radius = 4 centimeters

A = ╥x r²

Now put the value of radius = 4 centimeters and ╥= 3.14

Area = 3.14 x (4 cm) x (4 cm)

Therefore, area = 50.24 cm²

By cutting a circle into slices and rearranging those slices to form a rectangle, we can find the area of the circle by finding the area of the rectangle.

Example 1 divides the circle into 8 slices. Move the slices to fit them to the rectangle. They will snap into place. But 8 slices does not give us a very good rectangle. Try example 2, which divides the circle into 12 slices.

The more slices we have, the better the rectangle will be. Try using 24 slices in example 3. Compare the area of the rectangle to the area of the circle. The radius of the circle is equal to the height of the rectangle. The width of the rectangle is equal to 1/2 of the circumference or πr.

Keep reading and leave your comments.

Perimeters

Let us learn what is perimeter,

The term perimeter refers either to the curve constituting the boundary of a lamina, or else to the length of this boundary.

The perimeter of a circle is called the circumference.

The perimeters of some common laminas are summarized in the table below. In the table, e is the eccentricity of an ellipse, a is its semimajor axis, and E(k) is a complete elliptic integral of the second kind.
I hope the above explanation was useful.

Area of circle

Let us study about area of circle,
The distance around a circle is called its circumference. The distance across a circle through its center is called its diameter. We use the Greek letter π (pronounced Pi) to represent the ratio of the circumference of a circle to the diameter. In the last lesson, we learned that the formula for circumference of a circle is: C = πd. For simplicity, we use π = 3.14. We know from the last lesson that the diameter of a circle is twice as long as the radius. This relationship is expressed in the following formula: d = 2r

The area of a circle is the number of square units inside that circle. If each square in the circle to the left has an area of 1 cm², you could count the total number of squares to get the area of this circle. Thus, if there were a total of 28.26 squares, the area of this circle would be 28.26 cm² However, it is easier to use one of the following formulas:


if the radius of this circle is r, the area, A of the circle will be:
A = πr²
a circle with the radius r

where π is a constant that is approximately equals to 3.14.


I hope the above explanation was useful.

Frequency Polygon

Let us study about Frequency polygon,
Relative frequencies of class intervals can also be shown in a frequency polygon. In this chart, the frequency of each class is indicated by points or dots drawn at the midpoints of each class interval. Those points are then connected by straight lines.

The frequency polygon shown in Figure 1 uses points, rather than the bars you would find in a frequency histogram.Figure 1

Frequency polygon display of items sold at a garage sale.

Whether to use bar charts or histograms depends on the data. For example, you may have qualitative data—numerical information about categories that vary significantly in kind. For instance, gender (male or female), types of automobile owned (sedan, sports car, pickup truck, van, and so forth), and religious affiliations (Christian, Jewish, Moslem, and so forth) are all qualitative data. On the other hand, quantitative data can be measured in amounts: age in years, annual salaries, inches of rainfall. Typically, qualitative data are better displayed in bar charts, quantitative data in histograms. As you will see, histograms play an extremely important role in statistics.
Hope the above explanation was useful.

Statistical Probability

Let us study about Statistical Probability,
One of the most familiar uses of statistics is to determine the chance of some occurrence. For instance, what are the chances that it will rain tomorrow or that the Boston Red Sox will win a World Series? These kinds of probabilities, although interesting, are not the variety under discussion here. Rather, we are examining the probability in statistics that deals with classic theory and frequency theory—events that can be repeated over and over again, independently, and under the same conditions.

Coin tossing and card drawing are two such examples. A fair coin (one that is not weighted or fixed) has an equal chance of landing heads as landing tails. A typical deck of cards has 52 different cards—13 of each suit (hearts, clubs, diamonds, and spades)—and each card or suit has an equal chance of being drawn. This kind of event forms the basis of your understanding of probability and enables you to find solutions to everyday problems that seem far removed from coin tossing or card drawing.
Hope the above explanation was useful.

Classification of Fraction

Let Us Learn About Fraction and Classification of Fraction.


The word fraction has been derived from the Latin word fractus, means broken

A Fraction means a part of a group or a region or a whole.

Lets take a apple and cut it into 2 piece

2/4 obtained when we divide a whole apple into 4 equal parts


Now let us cut apple into 10 pieces









10/4 obtained when we divide a whole apple into 10 equal parts

Classification of fractions:

Fractions are classified into:

(i) Decimal fractions

(ii) Vulgar fractions

(iii) Proper fractions

(iv) Improper fractions

(v) Mixed Fractions

(vi) Like fractions

(vii) Unlike fractions

In our next blog we shall learn on Decimal Fraction.

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