Algebra in Polynomials..

Can somebody suggest me the title of the topic on what to study with regards to polynomials? Like getting their roots and using them in another expressions? I really cannot answer questions like this one because I lack knowledge to this.. Everytime I try to get the roots of polynomials (cubic equations, quartic equations, quadratic equations, etc.), there's always an imaginary number, and it stops me from proceeding to the next step.. Can someone help me about this scenario?

#Algebra

Easy Math Editor

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Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
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Comments

The question that you posted in response to Calvin suggests me that you need a thorough practice of polynomials and understanding their properties.

To solve such questions we don't actually find the roots of these equations as it is neither possible always nor feasible, as you may have realised while solving problems like this.

For such questions, we use the concept of ' Theory of Equations'.This you may learn from YouTube or from any mathematics tutor.

Hope this helps!

Post more problems in which you face problems, so that I may tell you the topic accordingly.

Ninad Akolekar - 6 years, 7 months ago

Now I see.. I just lack keen observation.. :) thanks for the reminder Ninad Akolekar.. :)

Mark Vincent Mamigo - 6 years, 6 months ago

FOCUS AND WORK HARD...JUST GET TEXT BOOKS,RESEARCH ON THE INTERNET,SOLVE MORE QUESTIONS AND IF POSSIBLE GET A TEACHER OR A BETTER STUDENT THAT KNOWS IT BETTER...PLEASE DON'T GIVE UP....JUST KEEP TRYING AND PUT MORE EFFORT.

Ayanlaja Adebola - 6 years, 7 months ago

Thanks for uplifting me Ayanlaja.. I'm still pursuing to learn more in mathematics because it is my passion.. but however, due to some irregularities, I cannot find someone who can aid me in learning these type of questions.. Take my example, and if you know how to solve it, will you please help me understand?? It will be such a great opportunity to learn this things here..

Mark Vincent Mamigo - 6 years, 7 months ago

Check out the practice section of Algebra - Polynomials. If you can work through those, then look at Algebra - Advanced Polynomials.

Calvin Lin Staff - 6 years, 7 months ago

It answered some of my questions but not all.. Sir, will you help me understand as to how to get the roots.. For example Sir, if we let p, q and r as the roots of the equation x^3+2x^2+3x+4=0, what is the value of (p+q)(p+r)(q+r)?? I really can't understand on how to answer these type of questions sir..

Mark Vincent Mamigo - 6 years, 7 months ago

Expand this. Then use Vieta's.

Krishna Ar - 6 years, 6 months ago

@Krishna Ar – I got a lot of ideas after studying Vieta's formulae.. Thanks a lot Krishna Ar! :)

Mark Vincent Mamigo - 6 years, 6 months ago

@Mark Vincent Mamigo – You're welcome :D

Krishna Ar - 6 years, 6 months ago

@Krishna Ar – Can you give me more ideas about this topic?? I mean title on what to search?? Haha! I was just about being enlightened.. :D

Mark Vincent Mamigo - 6 years, 6 months ago

@Mark Vincent Mamigo – Which topic? (Sorry, i don't remember what we were discussing about)

Krishna Ar - 6 years, 6 months ago

@Krishna Ar – I was about being curious, hehe.. Can you give me some more formulae in resolving polynomials?? And add some more ideas about functions.. I'm not that good in that topic yet.. :)

Mark Vincent Mamigo - 6 years, 6 months ago

@Krishna Ar – Ahmm.. Miss, can you help me about this one?? I was having a hard time on solving this.. How do we simplify (or equate) two equations with angled values?? Like sinx +1=y and cosx -5=2?

Mark Vincent Mamigo - 6 years, 6 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$