Algebra I: Polynomials


Before studying the unit it would be interesting a few of history.

Early forms of algebra were developed by the Babylonians and the Greeks. However the word “algebra” is a Latin form of the Arabic word Al-Jabr (“casting”) and comes from a mathematics book Al-Maqala fi Hisab-al Jabr wa-al-Muqabilah, (“Essay on the Computation of Casting and Equation”) written in the 9th century by a famous Persian mathematician, Muhammad ibn Mūsā al-Khwārizmī, who was a Muslim born in Khwarizm in Uzbekistan. He flourished under Al-Ma’moun in Baghdad, Iraq through 813-833 AD, and died around 840 AD. The book was brought into Europe and translated into Latin in the 12th century. The book was then given the name ‘Algebra’. (The ending of the mathematician’s name, al-Khwarizmi, was changed into a word easier to say in Latin, and became the English word algorithm.)[3]


Algebra (from Arabic “al-jabr” meaning “reunion of broken parts”[1]) is one of the broad parts of mathematics, together with number theory, geometry and analysis.

Algebra is a part of mathematics . It uses variables to represent a value that is not yet known. When an equals sign (=) is used, this is called an equation.

A very simple equation using a variable is: 2 + 3 = x

In this example, x = 5, or it could also be said, “x is five”.

This is called solving for x.


First of all, we will start with POLYNOMIALS, algebraic expressions from algebra.

In mathematics, a polynomial is an expression consisting of variables and coefficients which only employs the operations of addition, subtraction, multiplication, and non-negative integer exponents.

An example of a polynomial of a single variable x is

x2 − 4x + 7

An example in three variables is

x3 + 2xyz2yz + 1.

Now, you can see the Polynomials presentation below:


Enjoy it!!

Click on the following link and you will understand the special binomial products.


There are three Special binomials products:




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