Geometry/Various

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Imsfr
Imsfr  
Hello sir

Sir please explain about zero and non zero polynomials .  sir tell me why it is introduced, how mathematician got idea ect what is the use of it. Please explain without using any scientific terms

Please see the attachment sir

Answer
Hi Aishwarya,

The zero polynomial is a polynomial with all the coefficients equal to zero.

0 + 0x + 0x +...

...which is simply equal to zero.  None of the applications or the origins of it are necessary for you to know at this point (frankly, it is kind of silly to introduce the zero polynomial at all here, unless you are learning abstract algebra).  Being able to identify the zero polynomial is all you should have to do for now.
A non-zero polynomial is any polynomial that is not the zero polynomial.


8)  No.  The sum of the two shortest sides must be longer than the third side.  So what you need to check is 25+10=35, which is less than 50.  So a triangle with side lengths of 25, 10 and 50 is not possible.

9)  Angles are on a circle.  When you go all the way around, it resets.  Degrees were defined so that there are 360 of them in a circle.  This is more of a convention than anything else.

10) There are basic principles in math (such as 0+x=x for any number x).  We use these basic principles to come up with theorems, which are true mathematical statements that are not "intuitively obvious."  Proving a theorem is where true mathematics lies.  It is where you think for yourself, rather than plugging numbers into a formula.  To prove a theorem, you begin with small, obvious truths, and chain them together logically until you arrive at something truthful, , less obvious, but more applicable.
Proving a theorem shows you why something is true, rather than just taking it at face value.


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Thanks,
Azeem

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Azeem Hussain

Expertise

I welcome your questions on algebra, 2D and 3D geometry, parabolic functions and conic sections, and any other mathematical queries you may have.

Experience

4 years as a drop-in and by-appointment tutor at Champlain College. Private tutor for dozens of clients over the past 8 years.

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CALPHAD: Computer Coupling of Phase Diagrams and Thermochemistry

Education/Credentials
Bachelor of Science, Major Mathematics and Major Economics, McGill University, 2014. Diploma of Collegiate Studies; Pure and Applied Science, Champlain College Saint-Lambert, 2010.

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