Can someone help me I need to know something about polynomials and if it is a monomial or binomial or trinomial

Question

barrelracer011 · Answer

I belive it is binomial idk though

barrelracer011 · Answer

What type of polynomial is x(x - 4)(x - 5)

barrelracer011 · Answer

@jojo9999 @DollyAcquah

muzzack · Answer

A monomial is the product of non-negative integer powers of variables.  Consequently, a monomial  has NO variable in its denominator.  It has one term.  (mono implies one)
13,    3x,    -57,     x²,     4y²,     -2xy,  or  520x²y²
(notice:  no negative exponents, no fractional exponents)

muzzack · Answer

A binomial is the sum of two monomials.  It has two unlike terms. 
(bi implies two)
3x + 1,    x² - 4x,     2x + y,    or    y - y²

muzzack · Answer

A trinomial is the sum of three monomials.  It has three unlike terms.   (tri implies three)
x² + 2x + 1,      3x² - 4x + 10,       2x + 3y + 2

barrelracer011 · Answer

I know what they are I just need help understanding what that one is

muzzack · Answer

i think that is binomial

barrelracer011 · Answer

@phi is he right? I think he is I just want to be sure

phi · Answer

x(x - 4)(x - 5)

you can multiply that out and then count the terms

first, can you multiply (x-4)(x-5) ?

phi · Answer

some people use FOIL
some use the "distributive law"

barrelracer011 · Answer

Yes that would be $$x ^{2}-9+20$$

amistre64 · Answer

now what happens when we distrbute the remaining x thru it?

barrelracer011 · Answer

I have no idea

barrelracer011 · Answer

@amistre64

amistre64 · Answer

you have no idea how to multiply that setup by x?

barrelracer011 · Answer

It would be -9x+20?

amistre64 · Answer

x(x - 4)(x - 5)

x(x^2 -9x 20)

barrelracer011 · Answer

Is what you are shoing me going to help me get the answer to What type of polynomial is x(x - 4)(x - 5)

muzzack · Answer

then it would be
$$x^2-9\times20$$

muzzack · Answer

yes

amistre64 · Answer

of course, either that or im doing my taxes and this was the only post that had the room for it :/

x(x-4)(x-5)

x(x^2 -9x +20)

x(x^2) -x(9x) +x(20)

amistre64 · Answer

how do we define a polynomial as:  mono, bi, or tri ?

barrelracer011 · Answer

Mono means 1 term bi means 2 and tri means 3

barrelracer011 · Answer

@amistre64

amistre64 · Answer

1,2,or 3  what?

amistre64 · Answer

oh, i see it,  you stated in terms :)

amistre64 · Answer

so, how many terms does the finished results have?

x(x^2) -x(9x) +x(20)

barrelracer011 · Answer

It has 3 so it would be a trinomial

amistre64 · Answer

correct