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Introduction to Trinomial Notes:

Trinomial notes is a polynomial with three monomial terms. In trinomial notes, sum of three monomials is said to be trinomial. For example, 2x⁵ – 3x² + 3 is a trinomial . An Algebraic expression of the form axⁿ is called a monomial in x, The sum of two monomials is called a binomial and the sum of three monomials is called a trinomial. sum of the finite number of a monomials in term x is called a polynomial of x.

Example :

Factor trinomial notes x² + 3x − 10.

Solution.

The binomial factors will have this form:

(x a)(x b)

What are the factors of 10? they are 2 and 5:

x² + 3x − 10 = (x 2)(x 5).

We have to know how to choose the signs so that, coefficient for middle term will be sum of the outers plus the inners -- will be +3. Choose factors , +5 and −2.

= x² + 3x − 10 Would you like to learn more on angle of elevation

= (x − 2)(x + 5)

When 1 is the coefficient for x², the order of factors it does not matter.

(x − 2)(x + 5) = (x + 5) (x − 2) are same factors keep Math at your fingertips.

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Introduction to Algebra questions and answers

The algebra introduces the concept of the single variable. It is a part of a binary method (binary operators are subtraction ,addition, multiplication, division) is replaced by box. The box is denoted by a letter such as x or y denote a variable, and a, b, or c denote constants. In this topic we shall discuss about some algebra questions and answers.

For Example : X + 3 = 7

Algebra deals with formulas which makes simplification very easy and new techniques to solve expressions. For example the FOIL method is a new way which can be used to simplify multiplication of expressions in an easy and accurate way need algebra 2 homework help. Same way the remainder theorem here is a shortcut method of finding the remainder without actually dividing a polynomial.

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Math is a Game

Radius of a circle from circumference:

The terms radius, diameter & circumference are related to two-dimensional geometric shape named circle. Circle is a two dimensional closed shape with curved edges. The distance from the center of the circle & any point on the circle is always same. Circumference of the circle is 2pi r .where, r is the radius of the circle .

Do you know what is circumference ...?

Circumference is the total distance around the circle. Let us learn about the radius from the circumference of the circle,take a Step Forward to math

Algebra for all the Grades

Introduction to 9^th grade algebra problems:
9^th grade algebra is an Intermediate algebra problems; algebra is the subdivision of mathematics relative to the study of the rules of relations and operations, and the constructions arising from them, together with equations, algebraic expressions, conditions, and polynomials.
It is a number is subtracted ,added or multiplied or divided on both the sides of the scale. In algebra problems numbers are considering as constants.

9th Grade Algebra Problems:

Given the equation

7(-3x - 2) - (-x - 6) = -4(5x + 5) + 12
Multiply factors.
-21x - 14 + x + 6 = -20x - 20 +12
Grouping the terms do you need online algebra tutor.

-20x - 8 = -20x - 8
Add 20x + 8 to both sides, the above equation becomes
0 = 0
All real values are solution to this equation.

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Introduction to ordered indices and Explanation for online indices:

Indices is one of the basic terms in the mathematics. The word indices is plural form of the word index. Even though the word index has many meanings in mathematics but one of the important and the most used. The meaning of the index in the mathematics is that, it indicates the exponential power of a number. In the following topic we will see in detail about the topic ordered indices.

For example, 5⁴ is an example number. In this, the number 5 is called the base number and the number 4 is called as the power. From the above explanation we also said the power as the indices.There are 3 types laws are present in the ordered indices.One is product law, another one is quotient law na the next one is power law do you know what is indices.
Product Law:
An example problem for product law is given below, They are
If suppose p and s are positive integers, then if b 0 means, then the product law is given by,
Example: b^p x b^s = b^p+s . This is example for the product law.
Quotient Law:
An example problem for quotient law is given below, They are
If suppose p and s are positive integers, then if b 0 means, then the product law is given by,
b^p b^s = b^{p - s} . This is example for the quotient law.
Power Law:
An example problem for power law is given below, They are
If suppose p and s are positive integers, then if b 0 means, then the power law is given by,
( b^p )^s = b^ps . Fun learning mathematics This is example for the power law.

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Introduction about pentagonal prism:
 
The vertices are the corners points of the 3 dimensional object. The pentagonal prism has the 10 vertices. Pentagonal prism is a 3 dimensional object. Generally the flat surface of the pentagonal prism is called as its face. The shape of pentagonal prism is shown in below. In which A, A’, B, B’, C, C’, D, D’ and E, E’ are the 10 vertices. Let us see how to calculate the volume of pentagonal prism using the vertex point.
Do you know what is vertices in math

Formula to Find the Volume of Pentagonal Prism:

Volume of the pentagonal prism (A) = 1.72 a² h cubic units
a – side length
h – Height
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Introduction to area of the circle:

A circle is a simple form consisting of those points in a plane which are equidistant from a given point called the center. The common distance between the points of a circle from its center is called its radius.Circle can be divide into two regions with simple curves an interior and an exterior. The following figure represents the circle

"r" represents the radius of the circle

Here we are gong to study about how to find the area of the circle and its example problems.

Need to learn more on unit circle diagram

Area of the Circle – Example Problems

Example: 1

Find the area of the circle with radius 14 meter

Solution:
Here r = 14 meter, = 3.14, substitute r and value in the above formula we get

Area = 3.14 * 14²

Area = 3.14 *14*14

Simplify the above we get

Area = 615.44 meter square There is one solution to all your problems Geometry World

Therefore the area of the circle is 615.44 meter ²