Split - monomial

B

bronx.system

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Any chance someone can confirm if this is a binomial or a monomial

2(a+b)

that is a monomial right? its just 1 term right because the a+b are in parentheses?
 
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bronx.system said:
oops typo

meant to say "just saw reply thank you"

btw

while this read is still up any chance someone can confirm if this is a binomial or a monomial

2(a+b)

that is a monomial right? its just 1 term right because the a+b are in parentheses?
Click to expand...
It is a binomial because it involves two pronumerals, a and b.

You will eventually learn the binomial expansion for \(\displaystyle (a + b)^n.\)

\(\displaystyle (a + b)^0 = 1.\)

\(\displaystyle (a + b)^1 = a + b.\)

\(\displaystyle (a + b)^2 = a^2 + 2ab + b^2.\)

\(\displaystyle (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3.\)

And so on, using Pascal's triangle.
 
icic

this might be dumb question but just making sure

so would a monomial be
2(a+5)

?

><
 
bronx.system said:
icic

this might be dumb question but just making sure

so would a monomial be
2(a+5)

?

><
Click to expand...
Still a binomial - the plus sign shows there are two terms. One term is proportional to a, and the other is a constant. Thus, there are terms with two different names.

Another example of a binomial: 2a + a +16 - 5 + 3a
Can you see why that is a binomial?
 
Have you tried to look up the definition of monomial in your text-book?

What does it say?
 
@Subhotosh Khan i have but its confusing because it said that ak(x^2 - y^2) is monomial /=

DrPhil said:
Still a binomial - the plus sign shows there are two terms. One term is proportional to a, and the other is a constant. Thus, there are terms with two different names.

Another example of a binomial: 2a + a +16 - 5 + 3a
Can you see why that is a binomial?
Click to expand...

yeah i think so

2a + a + 3a and 16 -5 are 2 groups of terms
 
awesome thanks for link.

but should i really stop using it? i like the way its laid out. Do you recommend any other algebra books?
 
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bronx.system said:
awesome thanks for link.

but should i really stop using it? i like the way its laid out. Do you recommend any other algebra books?
Click to expand...
Use whatever works for you. Just realize that this particular book seems to use words sometimes in a non-standard way. That may not interfere with the book's ability to teach, but it may interfere with your ability to communicate with others.
 
Another point - unless you plan to major in mathematics, these differences in definitions will not matter very much. I am a retired engineer - now teach engineering - I did not have to deal with exact definitions of the monomial, binomial, etc. except while taking test in high school algebra.

Knowing the definitions is useful when you are studying a scholarly paper written for (generally) advanced audience.
 
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