Human society has always used Mathematics in almost every
facet of their lives. It was first developed by
the early Sumerians and since then has become a part of every human
being. It was first only used for
measuring or calculating time, distance or quantity. But as technology and
societies advanced the form of Math also evolved. Man’s curiosity in the
physical world leads to more complicated and developed forms of Math.
Now the study of Math has become part and parcel of every
student’s lives. It might start with simple pen and paper calculations which
develop into the usage of the electronic calculator or the computer. Now it has
very simply taken the form of online calculators. Students these days can use
free solvers and math calculators online to help them solve just about any kind of math problems. Simple addition or subtraction
to multiplying polynomials is handled. Some examples of such sites are
Mathway, MathPapa, WebMath, Byju’s and so on. Different sites specialize in
different kinds of operations. Most of them include solving basic math,
algebra, geometry and then it can get more complicated with trigonometry,
calculus, finite math, statistics, chemistry problems and linear algebra. Most
of these sites are free whereas some might require a fee if you want to see the
explanations.
All you need to do is type in the problem in the text box
given and click the ‘calculate’ or any such similar button. The sites which ask
for a fee to see the explanation will give you the answer and the explanation
would be blurred. Some sites even have some interesting functions like finding
out the odds to win the lottery.
Such apps are mostly accurate. But nothing is guaranteed
or error proof. So it is best that students do not depend on these completely
for multiplying polynomials or
other math operations. They can use these to learn the basics or for checking
their answers.
Now if we specifically look into polynomials; this is how
a polynomial would look like –
4xy² + 3x – 5 with 3 terms
If you want to get into multiplying polynomials, you need to multiply every term in one
polynomial with every term in the other one. Then you just have to add the
answers you get and simplify further if required. Let us look at a very simple
example.
·
Monomial with a monomial
(2xy)(3y) = 6xy²
You first multiply all the constants and then get to the
variables.
·
Monomial with binomials
2x(x + 4xy) = 2x² + 8x²y
These are just simple examples. For complicated calculations, such solvers and online
calculators come in handy. One can make such calculators a good medium to learn
and have some fun. Some children and students
develop a fear towards math. That is mainly due to their weak foundations.
Calculators can make it easy for such students too. They just need to start
right from the A, B, C’s and then take it from there. All academics can be made
fun if you start it the right way.
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