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Mathematics 16 Online
OpenStudy (anonymous):

Can anyone help me find the degree & number of terms on these polynomials below?! 9x2yz 18x2 + 5ab – 6y 8a – 5 My answers: 1. 4th degree, 1 term: monomial 2. 2nd degree, 3 terms: trinomial 3. 1st degree, 2 terms: binomial in the first two polynomials, the 2's are exponents!

OpenStudy (anonymous):

@whpalmer4

jimthompson5910 (jim_thompson5910):

9x2yz does NOT have a degree of 2 (although I do see why you think it does)

jimthompson5910 (jim_thompson5910):

9x^2yz is the same as 9x^2y^1z^1 and you find the degree by adding the exponents

OpenStudy (anonymous):

@jim_thompson5910 ohhh! the variables always equal to one right?

jimthompson5910 (jim_thompson5910):

not sure what you're asking

jimthompson5910 (jim_thompson5910):

oh you mean y = y^1 ?

OpenStudy (anonymous):

@jim_thompson5910 yeah.. so it'd be 3rd degree, trinomial?

jimthompson5910 (jim_thompson5910):

you're getting closer, but no

jimthompson5910 (jim_thompson5910):

the degree part anyway

OpenStudy (anonymous):

so its not 2nd degree or 3rd degree.. lol oh I feel stupid! it's 2+1+1 and that equals to 4! okay so 4th degree, trinomial?

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

it's 4th degree, but it's not a trinomial

jimthompson5910 (jim_thompson5910):

and it's ok, you're learning

OpenStudy (anonymous):

its still a binomial right? @jim_thompson5910

jimthompson5910 (jim_thompson5910):

are there any plus or minus signs between variables or coefficients?

jimthompson5910 (jim_thompson5910):

in the expression 9x^2y^1z^1

OpenStudy (anonymous):

no..

jimthompson5910 (jim_thompson5910):

so it's all collectively one term

jimthompson5910 (jim_thompson5910):

if you had something like 9x^2y^1+z^1, then there would be two terms

jimthompson5910 (jim_thompson5910):

one term ---> it's a monomial

jimthompson5910 (jim_thompson5910):

9x^2y^1z^1 is a 4th degree monomial

OpenStudy (anonymous):

ohhh okay, I misunderstood what my notes said! thanks! are the others correct? :/ @jim_thompson5910

jimthompson5910 (jim_thompson5910):

2 is completely correct 3 is completely correct so both 2 and 3 are correct, nice work

OpenStudy (anonymous):

thank you sooo much!! :) @jim_thompson5910

jimthompson5910 (jim_thompson5910):

you're welcome

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