Unit Conversion

Unit conversion is converting from one unit to another of the same quantity. Unit conversion is used when we have to compare or convert any quantity in any particular form. Unit conversion can be done for length, volume, time, temperature, area, energy etc. It is done using conversion factors.
For example: -
I kilogram = 1000 grams
1 foot = 12 inches
1 meter = 100 centimeters
1 minute = 60 seconds
1 day = 24 hours
What is the Metric Unit for Length?
The metric unit of length is meter.
Unit conversion length
1 meter = 1000 millimeter
1 meter = 100 centimeter
1 meter = 10 decimeter
1 meter = 0.001 kilometers
How to do unit conversions?
Unit conversions can be done by using the following steps: -
Write the given value.
For example: - Convert 582 cm to m.
Find conversion factor for the given and the desired units
In the above example the conversion factor is 100 cm = 1m.
Write it as a fraction with the given units as a denominator or in the opposite direction.
582 cm (1 m)/(100 cm)
Cancel the ‘like’ units that is cm in the numerator can be cancelled by cm in the denominator.
582 cm (1 m)/(100 cm )=582  (1 m)/100

Multiply odd units, we will be left with 582 times 1 m in numerator which gives 582 m and 100 in denominator which gives 582 m/100 = 5.82 m
5.82 m
For example: -
If we have to convert 12 millimeter to kilometer, then the steps would be: -
Convert 12 mm to km
Conversion factors are: -
1000 mm = 1 m
1000 m = 1 km
1.2 mm(1m/1000mm)((1 km)/(1000 m))
=0.0000012 km
This is how unit conversion is done when we have any quantity in a unit and we need to convert it in different unit.

Introduction to Trinomials

What is a trinomial?
To understand the concept of trinomial, we should know what a monomial is. A monomial is an algebraic expression that has only one term.

For example: - 2a, 4x, 6z are all monomials. A trinomial is a polynomial which consists of three monomial terms. For example: -
• 2a+3b-4c
• 4x-84-6z
They both are the examples of trinomials.
Factoring trinomials
Rules to factor trinomials: (how to factor trinomials)
A trinomial expression is an algebraic expression which has exactly three terms. Trinomials can either be quadratic equation or a higher order equation. In case it is a quadratic equation, it can be simplified either by factoring or using quadratic formula.

For example: - 2x^2-7x+6 can be written as 2x^2-4x-3x+6 which can be factored as (2x-3) (x-2) so this is how we factor trinomials if they are in quadratic form.
A higher order trinomial can be turned into a quadratic equation by factoring common terms and then can be factored again.

For example: - 6x^2y + 14xy + 4y
In this expression, we have 2y common in all terms, so we can take that common, so that becomes
2y (3x^2+7x+2)
And that can further be factored as 2x (3x+1) (x+2).
Following instructions should be followed for solving trinomials: -
• First, factor the common factors from all the terms. For example if we have 3x^2+24x+45 then we can take 3 common from all the terms and write the expression like this, 3(x^2+8x+15).
• Check the trinomial equation you are left with.
• If the highest power of the trinomial equation is 2, then it can be factored like a quadratic equation
• If the highest power is the higher degree, then we should look for a pattern that allows you to solve it like a quadratic equation.
• Solve the quadratic part of the equation and make the factors.