Learning math

We will help you solve geometry answers

Geometry Definitions for Points
A Point find out the correct location or exact position on a plane surface. The point does not has any length. The point don't has any size. The point is-regularly denoted with dot on a paper, the dot may have some dimensions, while the true point has dimension 0, also get help with geometry homework help free

The Line segment has two known endpoints. Line segment is not a complete one. The line segment has no width.In geometry the 2 separate points in a plane find out a line. A line can be explained as a group of ordered pairs with a definite property in a plane.

Learning division algorithm

What is division algorithm

Division is one of the basic arithmetic operations in mathematics. It contains the dividend, divisor and quotient. Specifically, if z time’s x equals y, z x x = y,where x is non zero value, then y divided by x equals z, written:

y / x = z

In the above equation z is identified as dividend, y is divisor and x is quotient.

The division algorithm is the theorem that accurately expresses the output of the division process of integers. The theorem has integers as the quotient q and remainder r that are exist and it has the unique a and divisor d, with d ≠ 0. Get help with identity definition

The size of each group formed, quotient of a and b ic c. Quotative division contains a set of size a and forming groups of size b. The number of groups of the size that can be formed, c, is the quotient of a and b.

Understanding Distance Formula Calculator

Let us know how the distance formula calculator works


Calculator is a device which calculates the result by which we given as input and also we can substitute the many values in the linear distance calculator. We have the math formula for the linear distance calculation by the suitable calculator. For distance learning the distance between the points we have the distances formula we substitute the points in that linear distance calculator we find the distance between the points.

How to use distance calculator:

• First enter the given co ordinates in the (x₁,y₁) and (x₂,y₂) in the calculator
• Then press the calculate button in the middle we get the answer in the distance column
• For the new value delete the co ordinates in the column and enter new value.
• Also get more help on absolute value calculator

Distance calculator working in the following concept:

Distances help formula for between two points is related with the distance co ordinates points. we have to substitute the points in the formula we get distance length of the points given.

Let D, be the distances,(x₁,y₁) and (x₂,y₂) are the co ordinates given between the two points.For the distance help we have the formula substitution and problems using the formula.

Understanding Decimals

Find the position value you want and you can see that the digit just to the right of it. If that digit is fewer than 5, do not modify the rounding digit but drop all digits to the right. If that digit is larger than or equal to five, add one to the rounding digit and slump all digits to the right.


Let us know about Dividing Decimals

Write the divisor before the division bracket and write the dividend under the bracket.
Multiply both the divisor and the dividend by the number 100. Or move the decimal point with two places right side in both the divisor and the dividend. Proceed with the following and put the decimal normally as shown in the dividend.

Example 4:

Divide 4.3217 ÷ 0.13

Answer : 33.2438

Algebraic Long Division

Definition: Algebraic long division is very similar to traditional long division (which you may have come across earlier in your education). The easiest way to explain it is to work through an example.

Example of Algebraic Long Division

















If the polynomial/ expression that you are dividing has a term in x missing, add such a term by placing a zero in front of it. For example, if you are dividing x³ + x - 4 by something, rewrite it as x³ + 0x² + x - 4 .

With algebraic long division, practice makes perfect- the best way to learn how to do them properly is to do loads of examples until you get them right every time.
The Factor Theorem

This states:

• If (x – a) is a factor of the polynomial f(x), then f(a) = 0

In other words, if a polynomial f(x) can be divided by (x - a) without a remainder, then x = a is a root of f(x) (so f(a) = 0).

In the above worked example, f(2) = 0. This means that (x - 2) is a factor of the equation.

The factor theorem is important because it can be an easy way of finding factors that would otherwise be difficult to find.

Example

Factories x³- 7x - 6.

--> -->

-->

Note that if we replace x by -1, then we get zero. If you notice or have been told this, then you know immediately, by the factor theorem, that one of the factors is (x + 1). Now we can divide

x³-7x - 6 by (x + 1) to find the other factors. If you carry out the division, you will get X²- x - 6.

This is easy to factories,the answer being (x - 3)(x + 2)

So
-->x³-7x - 6 = (x + 1)(x - 3)(x + 2)

The Remainder Theorem

When dividing one algebraic expression by another, more often than not there will be a remainder. It is often useful to know what this remainder is and it can often be calculated without going through the process of dividing. The rule is:

• If a polynomial f(x) is divided by ax - b, the remainder is f(b/a)

In the above example, 2x³ - 3x² - 3x + 2 was divided by x - 2.
Let f(x) = 2x³ - 3x² - 3x + 2 . In this case, a = 1, b = 2. The remainder is therefore f(2) = 2×2³ - 3×2² - 3×2 + 2 = 0, as we saw when we divided the whole thing out.

Terminology

The quotient is what you are given after dividing. So, if p(x) is the original polynomial, then

p(x) = q(x)s(x) + r(x), where q(x) is the quotient, s(x) is what you are dividing by and r(x) is the remainder.