Factoring Quadratics

Factoring Quadratics:The explanation for factoring quadratics expressions,

Step 1: In the first step, the constant term must be identified.

Step 2: In the next step, the product term for the constant terms must be identified.

Step 3: Check whether the obtained product is equal to the sum of the co-efficient if x.

Step 4: Write the product of the obtained terms.Factors of 28 is one of the most commonly asked question under this topic.Hope you like the above example of factoring quadratic.Please leave your comments, if you have any doubts.

Parallelogram Definition

Let us learn about the Parallelogram Definition:Two diagonals in the figure which intersects at a particular point and lie in the interior part of parallelogram.When two pairs of the sides are opposite and they are parallel to each other.Then it is called as parallelogram .Now let us see about the parallelograms sides introduction.In parallelograms introduction, we can draw a pair of parallel lines. Draw another pair of parallel lines intersecting the former.Thus the parallelogram can be formed.Thus we can say that the pair of opposite sides of parallelogram is of equal length.Similarly we can also learn about other topics such as types of lines.Hope you like the above example of Parallelogram Definition.Please leave your comments, if you have any doubts.

How to find standard deviation

Let us learn how to find standard deviation.The variance is the measure of variability about the mean. To find standard deviation is the square root of average squared deviation from the mean.In the determination of variance, we find that the units of individual observations xi and the unit of their mean or [barx] are different from that of variance, since variance involves the sum of squares of (xi– [barx] ). The mean of a set of examination is expressed as positive (+ve) square-root of the variance and is called standard deviation. In order to find standard deviation the following formula is to be used.The formula for standard deviation is
σ = [sqrt((1/n)sum_(i=1)^n (x i - barx )^2)] . In find standard deviation usually denoted by σ.Hope you like the above example of how to find standard deviation.Please leave your comments, if you have any doubts.

Properties of exponents

Properties of Exponents:
The following properties are very essential in solving exponents,
1. Property for the product exponents with same base,

a^m * aⁿ = a^m+n, provided a b

2. Property of exponents with zero superscript,

a⁰ = 1, provided a 0

3. Property for exponemts in fraction form,

= a^m * a^-n , provided a 0

4. Property for exponents with whole superscript,
(ab)^m = a^m * b^m , provided a b
5. Property for exponents with negative superscript,

a^-m = provided a 0

6. Property for exponents with common superscript when the terms are in product,

(a^mb^mc^m) = (a*b*c)^m ,

(a^m/b^m) = ( )^m , provided a b

7. Property for exponents with radicals,

= x

(a^m)ⁿ= a^{mn
I hope the above explanation was useful, now let me explain about dividing radicals.}

Multiplying Radicals

Multiplying Radicals:The explanation to multiplying radicals is given below.There are mainly two laws are used. They are given below,Product law:

* Product law are also used in the radical expressions.
* By using the product law, if the given radical expressions are having the same index value means, then it can be multiplied.

Example: [root(4)(2)] [xx] [root(4)(3)] = [root(4)(6)]

Distributive law:

* Distributive law are also used in the radical expressions.
By using the distributive law, we have to multiply each and every terms.

Example: a (b + c) = ab +ac.The other key area of study is dividing radicals.Hope you like the above example of Multiplying Radicals.Please leave your comments, if you have any doubts.

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