Monday, December 26, 2011
Operations with scientific notation.mp4
Saturday, December 10, 2011
Factoring Polynomials - An Ultimate Approach
Factoring polynomials is a "must know" to understand algebra and score excellent grades in algebra. In this presentation we will explore the ultimate approach to factoring polynomials. Starting from factoring a monomial we will discuss every aspect of factoring polynomials.
To factor any kind of polynomial, knowledge of greatest common factor (GCF) is mandatory. If the students don't have the basic understanding of factoring numbers, they should review prime factorization of numbers first.
There are the following steps for factoring polynomials:
1. Find if there is any greatest common factor in the terms of given polynomial:
If the polynomial has the GCF, pull it out from each term of the polynomial by using the brackets. For example;
3a² + 6ab - 9a has "3a" as the GCF. Pull "3a" out as shown below to factor the polynomial;
3a (a + 2b - 3)
2. If the polynomial is a binomial (having two terms only), find if it is the difference of squares. Some times, by taking the GCF away, the binomial becomes the difference of squares. There is a special method for factoring difference of squares and I will discuss that in detail in my coming articles.
3. If the polynomial is a trinomial, again try to pull the greatest common factor away if you can. There is a special way to factor a trinomials and I am going to explain this topic alone in a separate article.
4. If the polynomial has four terms, then try to rearrange the terms and separate them into pairs of two's having greatest common factors. Take the greatest common factor out from each pair and see if you get two same brackets. For example; consider we have a polynomial, 4u² + 3a + 2u + 6au and we want to factor it.
There are four terms in the polynomial and there is no greatest common factor other than one. If we rearrange the terms and try to find the greatest common factor in the pairs of two terms, it might be possible to factor the polynomial that way.
So rewrite the polynomial by rearranging the terms as shown below:
4u² + 2u+ 3a + 6au
Look at the first pair "4u² + 2u" it has "2u" its GCF, pull it out as "2u (2u + 1)". Similarly factor the second pair as "3a (1+2u)". But, (1 + 2u) is same as (2u + 1), hence we can interchange them for simplicity.
= 2u (2u + 1) + 3a (2u+1)
Now, (2u + 1) is the common factor and pull it out as shown below:
= (2u + 1) (2u + 3a)
All the steps can be written together as follows;
4u² + 3a + 2u + 6au
= 4u² + 2u + 3a + 6au
= 2u (2u + 1) + 3a (2u+1)
= (2u + 1) (2u + 3a)
You can FOIL it to check your answer, if you get back the original polynomial.
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Friday, December 2, 2011
Getting to Know Vedic Arithmetic a Little Bit More
It is a common sentiment among humans, with a wee bit of emphasis on kids, that mathematics at its lowest and most raw form is simply hard. There are, however, different aspects of mathematics that we have to learn about more for they can be useful in developing strategies in dealing with real life situations. Vedic arithmetic is one of these less known mathematical concepts.
Basically, vedic arithmetic is a subset of vedic mathematics. This concept involves an algorithm operation which focuses on the algorithmic and correctness issues concerning numerals. There are questions concerning the label for this concept as critics continue to demand evidence supporting the concept's right to be referred to as vedic as well as mathematics. The lack of evidence is specific on the aspect concerning the connection of the whole system with that of the verdict sutras.
In its simplest form, verdict arithmetic involves numbers and numbers along with the other different basic concepts in mathematics such as the four major operations, square and square root, cubes, fractions and decimals. With the use of the equations, we can easily get to the answers to any numerical problems. Men of science usually make use of such equations to provide scientific calculations involving theories and methodologies in physical sciences. The use of the vedic formulas are helpful in making the calculation as fast as lightning and in order to end up with one liners for the answers.
The history of vedic arithmetic dates back a long time ago. Sri Bharati Krsna Tirthaji gave this name to refer to this mathematical concept as this is described as a form of ancient system rediscovered from the Vedas. There was a time when this concept was used to make sense of the way the mind works. It was a great help in getting the students directed towards the most appropriate way of solving the equation.
In our modern age of computers and calculators, a lot of people have shied away from developing skills of mental math, in particular, the basic methods of mental arithmetic. School children have asked why there is a need to learn about it when a calculator is readily available. This is a valid reason and can really catch the teacher off guard. This is however, a challenge left on the hands of our educators.
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Tuesday, November 22, 2011
HP 50g Graphing Calculator
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Brand : HPRate :
Price : $104.59
Post Date : Nov 22, 2011 19:48:58
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The new HP 50g Graphing Calculator provides the best in power, flexibility and connectivity for math, science and engineering professionals and college students. It now features a more capable SD card slot, 2.5 MB total memory, new RS232 and USB connectivity and a built-in intelligent editor that gives you more capability than ever before.
Monday, November 14, 2011
Friday, November 4, 2011
Scientific Notation Problem 3
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Saturday, October 15, 2011
New HEWLETT-PACKARD 20B Business Consultant Calculator 12-Digit LCD Intuitive Keyboard Layout
!±8± New HEWLETT-PACKARD 20B Business Consultant Calculator 12-Digit LCD Intuitive Keyboard Layout
Post Date : Oct 15, 2011 15:02:40 | Usually ships in 1-2 business days
Memory 10 Registers; Power Source(s) Battery; Case Hard; Size 3 x 5.9; Display Angle Fixed; Display Type(s) LCD. Higher Mathematical Functions Trigonometry; Replacement Batteries 2 3.0V Lithiu, EVE-ECR2032BP. Offers quick solutions for your business and finance calculations. Features an intuitive keyboard layout, simple-to-use ¡°worksheet¡± interface and a large two-line LCD display.
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Sunday, August 21, 2011
Casio Graphing Calculator
MODEL- FX-9860g VENDOR- CASIO FEATURES- Graphing Calculator The FX-9860G Graphic Calculator has a large high contrast display with dual screen capability. Icon memu provides easy access to advanced functions. All the functionality of the FX-9750GPlus with USB connectivity 1.5MB flash memory natural display capability and a PC Emulator.* Suggested Courses for the FX-9860G Graphing Calculator include: Pre-Algebra Algebra I and II Geometry Trigonometry Calculus Statistics Biology Chemistry Physics Finance and Business.* The FX-9860G is allowed on all major exams like AP SAT I/II PSAT/NMSQT ACT and state level assessments allowing graphic calculators. -- SPECIFICATIONs -----------------------------------MEMORY - Available RAM/Flash ROM: 64KB/1.5MB Electronic upgradeability Prior Entry Recall Number and Constant MemoryDISPLAY - Interface Iconic Menu Lines x characters : 8 x 21 Screen Size (Pixels): 64 x 128 Natural Display Input Capture Clip & Paste Capability Language Options Available GRAPHING - Function (y=Equations to graph): 20 Parametric Polar Sequence Constant (x=) Inequality (auto shading) Zoom Trace Dynamic/Transformation ConicsMATHEMATICS - Table of function values Fixed Decimal Options Scientific Notation: 10 +2 Fraction Operations Interactive Equation Solver Simultaneous Equation Solver: Up to 6 Polynomial Root Finder : Up to 3 Complex Numbers Matrices : up to 55x55 Recall and Edit Last Entry Spreadsheet CapabilitiesCOMPUTER MATH - Calculates in Dec
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Tuesday, August 16, 2011
HP 19Bii Business Consultant Calculator
!±8±HP 19Bii Business Consultant Calculator
Brand : HPRate :
Price :
Post Date : Aug 16, 2011 18:04:02
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The HP-19B features four display lines with 23 characters each, plus 6,500 bytes of memory. Offering over 450 business, statistical, and scientific functions, the calculator is also easily programmable for custom equations and functions. Personal information management applications, currency and measurement unit conversions and functions that help you track loan payments, interest rates, amortization, and internal rate of return make this calculator a must for all business applications.Note: While some ratings and reviews below refer to model HP19Bii, this item is the original HP-19B Business Consultant II Business Calculator. While they are substantially the same, the two differ in that the HP19Bii supports RPN as well as algebraic entry.
Sunday, August 14, 2011
HP HP48GX RPN Expandable Graphic Calculator
!±8± HP HP48GX RPN Expandable Graphic Calculator
Item Name: HP 48GX (128KB) graphing calculator - used. Cosmetic Condition: Good Perfect Working ConditionHP 48GX Expandable RPN Graphing Calculator with two expansion card slots This item has been discontinued by the manufacturer. We have a limited number of used calculators available at the price listed on this page; once they are gone we'll likely stop carrying this model. These used units have been verified by us to be in good condition and in working order. Includes cable and batteries. Does not include: Manuals or manufacturer warranty. Returns will not be accepted for this item, but we will repair or replace defective units for an extended period of 60 days.
Friday, August 12, 2011
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HP 32Sii Scientific Calculator
!±8± HP 32Sii Scientific Calculator
HP 32S II 32SII RPN Scientific Calculator
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